Uaday Singh - Department of Mathematics,Indian Institute of Technology Roorkee
Uaday Singh
Uaday Singh Associate professor uaday.singh@ma.iitr.ac.in 01332285430
Areas of Interest
  • Real Analysis, Complex Analysis, Fourier Approximation, Summability
Professional Background
FromPeriodPositionOrganisation
2015-11-23OngoingAssociate ProfessorDepartment of Mathematics, IIT Roorkee
2010-11-195 years 3 daysAssistant ProfessorDepartment of Mathematics, IIT Roorkee
2006-01-214 years 9 months 28 daysAssistant ProfessorDepartment of Mathematics, Faculty of Science, Banaras Hindu University
2003-11-102 years 2 months 10 daysLecturer in MathematicsNational Council of Educational Research and Training
Multiple Posts
FromPeriodPositionOrganisation
2019-07-011 year 11 months 29 daysMember of Library Advisory CommitteeIIT Roorkee
2018-09-011 year 11 months 30 daysOC Department LibraryIIT Roorkee
2020-09-011 year 11 months 30 daysFaculty-in-Charge AdministrationIIT Roorkee
2018-07-091 year 11 months 29 daysMember of Department Administrative CommitteeIIT Roorkee
2019-06-162 years 14 daysMember of the Panel SRIC for Recruitment of Project/Research StaffIIT Roorkee
2018-09-011 year 11 months 30 daysMember of Department Research CommitteeIIT Roorkee
2016-09-011 year 11 months 30 daysMember of IAPCIIT Roorkee
2019-07-0111 months 29 daysCoordinator, Preparatory CourseIIT Roorkee
2019-07-014 years 11 months 29 daysFaculty Advisor for Int. M. Sc. (Applied Mathematics)IIT Roorkee
2019-06-041 year 6 months Member of Department Management Space CommitteeIIT Roorkee
2019-01-0111 months 30 daysMember of Departmental Faculty Search CommitteeIIT Roorkee
2018-01-011 year Member of Departmental Purchase CommitteeIIT Roorkee
2018-07-0111 months 29 daysMember of Anti-Ragging CommitteeIIT Roorkee
2016-09-011 year 11 months 30 daysMember of Departmental Academic Program CommitteeIIT Roorkee
2016-07-0111 months 29 daysMember of Anti-Ragging CommitteeIIT Roorkee
2014-04-011 year 9 months Member of Department Administrative CommitteeIIT Roorkee
2014-01-012 years Member of Department Research CommiteeIIT Roorkee
2015-01-011 year Member of Anti-Ragging CommitteeIIT Roorkee
2014-01-014 years OC Time TableIIT Roorkee
2014-01-011 year Member of Anti-Ragging CommitteeIIT Roorkee
2012-01-012 years Member of Departmental Academic Program CommitteeIIT Roorkee
2014-07-013 years 11 months 29 daysFaculty Advisor for Int. M. Sc. (2013-2018)IIT Roorkee
Educational Details
DegreeSubjectUniversityYear
Ph. DMathematicsCh. Charan Singh University Meerut and IIT Roorkee2007
M. Sc. with I divisionMathematicsCh. Charan Singh University Meerut2001
Sponsored Research Projects
TopicFunding AgencyStart DatePeriod
Fourier Approximation in Certain Function SpacesSERB, DST Govt. of India2014-08-203 years 11 months 30 days
Some Problems on Fourier Approximation in Banach SpacesNational Board For Higher Mathematics2014-12-222 years 11 months 29 days
Pedagogy Course on Engineering MathematicsMHRD through IIT Khragpur2013-04-012 years 11 months 30 days
Memberships
  • Forum D’ Analystes, Institute of Mathematical Science Chennai, Life Member
  • Indian Mathematical Society, Life Member
  • International Society for Analysis, its Applications and Computation, Life Member
  • American Mathematical Society, Regular Member till 2021
  • Int. Association of Engineers, Life Member
  • The Indian Science Congress Association, Life Member
  • Forum For Interdisciplinary Mathematics, Life Member
Teaching Engagements
TitleCourse CodeClass NameSemester
Real Analysis - IMA 104Int. M.Sc. - I YearAutumn
Mathematics-1MAN-001B. Tech.-IAutumn
Linear AlgebraMAN-102Int. M. Sc.- I YearAutumn
Projects and Thesis Supervised
Title of ProjectNames of Students
Bounds for Trigonometric Polynomials in Two VariablesRavi Shankar Shukla
Trigonometric Approximation in Homogeneous Banach SpacesAkanksha Verma
A Study of New Inner Product < , > in Real Lp -SpaceDeepika Singh
A Study of Some Summability Methods and their EquivalenceRohit Patel
A Study of Trigonometric Series with General Monotone Coefficients and its Convergence in L1 and Lp NormRajan Saini
Korovkin-type Theorems and Approximation by Positive Linear OperatorsGaurav Sharma
A modified Fejer and Jackson summability method with respect to orthogonal polynomialsAnkur Malik
The Evolution of Isoperimetric ProblemsAkshay Kumar Jakhar
Convergence of numerical series of uncertain variableDheeraj Kumar
Trigonometric InterpolationDinesh Kumar
Study of Almost Periodic FunctionsBharat Raj Bairwa
A Study of Matrix Means of Mellin -Fourier SeriesBirendra Singh
Corrected Fourier Series and Its Application to Function ApproximationVinod Kumar
Trigonometric Approximation for Bessel FunctionsRaj Kumar Soni
Maximum Modulus Principal for Non-Analytic Functions Defined in the Unit DiscChandani
Research Scholar Groups
Scholar NameInterest
Birendra SinghFourier Approximation
Abhay Pratap SinghFourier Approximation
PHDs Supervised
TopicScholar NameStatus of PHDRegistration Date
Approximation TheoryAbhay Pratap SinghO2019-07-01
Fourier Approximation in Certain Function SpacesBirendra SinghO2015-01-01
Fourier Series Approximation By Linear Operators in Lp NormMrs. ArtiA2015-01-01
Fourier Series Approximation of Functions in Lp(p>=1)-SpacesMs. SoshalA2012-01
Some Problems on Trigonometric Approximation in Lp(p>=1)- SpacesShailesh Kumar SrivastavaA2012-06-01
Some Problems on Fourier Approximation in Lp- SpacesSmita SonkerA2009-01
Visits to outside institutions
Institute VisitedPurpose of VisitDate
University of Zelona Gora, PolandIt was a one month visit. During this visit I worked on some research problem and write a joint research proposal with Prof. W. Lenski and Prof. B. Szal.2019-06-15
Participation in short term courses
Couse NameSponsored ByDate
One Week Short Term Course on Complex Analysis, Fourier Series and Special Functions (Co-convener)TEQIP, IIT Roorkee2017-03
QIP Short Term Course on Soft ComputingISM Dhanbad2008-07
Courses or Conferences Organised
Conference NameSponsored ByDate
International Workshop on Operator Theory and its ApplicationsIIT Roorkee2017-08
International Conference on Mathematical Analysis and Its ApplicationsNBHM, DST, ISAAC, Forunm D'Analytes2016-11
One Week Short Term Course on Mathematical Analysis and Applications (Co-Convener)QIP Centre, IIT Roorkee2016-07
29th International Conference of The Jangjeon Mathematical Society on Number Theory and Special FuncProject Grant2016-08
International Conference in Mathematical SciencesProject Grant2015-07
Second International Conference on Mathematics and Statistics (AUS-ICMS’15)IIT Roorkee2015-04
International Conference on Recent Trends on Mathematical Analysis and Applications(Co-convener)DST, UCOST, ISAAC, QIP, IIT Roorkee2014-12
7th Conference on Function SpacesNBHM2014-05
World Congress on Engineering (WCE-2013)DST, Govt. of India2013-07
International Conference on Mathematical Sciences (ICMS-2012)IIT Roorkee2012-12
International Congress in Honour of Professor H. M. SrivastavaIIT Roorkee2012-08
International Conference on Applied Mathematics and Approximation TheoryUGC, New Delhi2012-05
International Conference on Mathematical Modelling and Scientific ComputationIIT Roorkee2012-03
International Conference On ‘Optimization and Its ApplicationsBHU2010-02
Special Lectures Delivered
TitlePlaceDate
INSPIRE camp for School StudentsHNB Garhwal University Srinagar2020-01
INSPIRE camp for school studentsHNB Garhwal University Srinagar2014-01
INSPIRE camp for school studentsHNB Garhwal University2014-11
JOURNAL PUBLICATIONS

List of Selected Journal Publications  (Web of Science Researcher ID AAY-1275-2020,  MATHSCINET MR Author ID: 753824)

1 Uaday Singh, On the trigonometric approximation of functions in a weighted Lipschitz class, J. Anal. (Accepted) 

2 W. Łenski, Uaday Singh, B. SZAL, Trigonometric approximation of functions in seminormed spaces, Math. Equal. Appl. (Accepted)

3 Saini, Soshal; Singh, Uaday, Approximation of  , conjugate function of f  belonging to a subclass of Lp-space by product means of conjugate Fourier series. J. Anal. 28 (2020), no. 1, 155–167.

4 Rathore, Arti; Singh, Uaday, On the degree of approximation of functions in a weighted Lipschitz class by almost matrix summability method. J. Anal. 28 (2020), no. 1, 21–33.

5 Singh, Birendra; Singh, Uaday, Some characterizations of Hausdorff matrices and their application to Fourier approximation. J. Comput. Appl. Math. 367 (2020), 112450, 8 pp.

6 Srivastava, Shailesh Kumar; Singh, Uaday, On T-strong convergence of numerical sequences and Fourier series. Proc. Nat. Acad. Sci. India Sect. A 88 (2018), no. 4, 571–576.

7 Rathore, Arti; Singh, Uaday, Approximation of certain bivariate functions by almost Euler means of double Fourier series. J. Inequal. Appl. 2018, Paper No. 89, 15 pp.

8 Uaday Singh, Arti Rathore, A note on the degree of approximation of functions belonging to certain Lipschitz class by almost Riesz means, Stud. Univ. Babeş-Bolyai Math. 63(3), (2018), 371–379.

9 Singh, Uaday; Saini, Soshal, Approximation of periodic functions in certain sub-classes of Lp[0,2π]. Asian-Eur. J. Math. 10 (2017), no. 3, 1750046, 12 pp.

10 Saini, Soshal; Singh, Uaday, Degree of approximation of functions belonging to Lip(ω(t),p)-class by linear operators based on Fourier series. Boll. Unione Mat. Ital. 9 (2016), no. 4, 495–504. 

11 Soshal, Uaday Singh, Approximation of periodic integrable functions in terms of modulus of continuity, Acta et Commentationes Universitatis Tartuensis de Mathematica, 20(1) (2016), 23-34.

12 Singh, Uaday; Srivastava, Shailesh Kumar, Trigonometric approximation of functions belonging to certain Lipschitz classes by C1.T operator. Asian-Eur. J. Math. 7 (2014), no. 4, 1450064, 13 pp.

13 Srivastava, Shailesh Kumar; Singh, Uaday, Trigonometric approximation of periodic functions belonging to Lip(ω(t),p)-class. J. Comput. Appl. Math. 270 (2014), 223–230. 

14 Singh, Uaday; Srivastava, Shailesh Kumar, Approximation of conjugate of functions belonging to weighted Lipschitz class W(Lp, ξ(t)) by Hausdorff means of conjugate Fourier series. J. Comput. Appl. Math. 259 (2014), part B, 633–640.

15 Singh, Uaday; Sonker, Smita, Trigonometric approximation of signals (functions) belonging to weighted (Lp, ξ(t))-class by Hausdorff means. J. Appl. Funct. Anal. 8 (2013), no. 1, 37–44.

16 Singh, Uaday; Srivastava, Shailesh Kumar, Degree of approximation of functions in Lipschitz class with Muckenhoupt weights by matrix means. IAENG Int. J. Appl. Math. 43 (2013), no. 4, 190–194.

17 Sonker, Smita; Singh, Uaday, Degree of approximation of the conjugate of signals (functions) belonging to Lip(α,r)-class by (C,1)(E,q) means of conjugate trigonometric Fourier series. J. Inequal. Appl.  2012, 2012:278, 7 pp.

18 Singh, Uaday; Mittal, M. L.; Sonker, Smita, Trigonometric approximation of signals (functions) belonging to W(Lr, ξ(t)) class by matrix (C1.Np) operator. Int. J. Math. Math. Sci. 2012, Art. ID 964101, 11 pp.

19 Mittal, M. L.; Rhoades, B. E.; Sonker, Smita; Singh, U., Approximation of signals of class Lip(α,p) by linear operators. Appl. Math. Comput. 217 (2011), no. 9, 4483–4489.

20 Mittal, M. L.; Singh, Uaday T.C1 summability of a sequence of Fourier coefficients. Appl. Math. Comput. 204 (2008), no. 2, 702–706. 

21 Mittal, Madan Lal; Singh, Uaday; Mishra, Vishnu N., On the strong Nörlund summability of conjugate Fourier series. Appl. Math. Comput. 187 (2007), no. 1, 326–331.

22 Mittal, M. L.; Rhoades, B. E.; Mishra, V. N.; Singh, Uaday, Using infinite matrices to approximate functions of class Lip(α,p) using trigonometric polynomials. J. Math. Anal. Appl. 326 (2007), no. 1, 667–676

23 M. L. Mittal, Uaday Singh, Vishnu N. Mishra, Shalini Priti, Saurabh Shyam Mittal, Approximation of functions (signals) belonging to Lip  - class by means of conjugate Fourier series using linear operators, Indian Journal of Mathematics, 47 (2 – 3) (2005), 217-229. 

24 Shalini Priti, Saurabh Shyam Mittal, Uaday Singh, Vinay Kumar, Approximation of functions by matrix means of Walsh-Fourier series, Advances in Mathematics Research, 5(2003), 31- 45. 

 

 

CONFERENCE PUBLICATIONS

Research Papers in Conference Proceedings:

1. Shailesh Kumar Srivastava, Uaday Singh, Trigonometric approximation of periodic functions belonging to weighted Lipschitz class W(Lp, Ψ(t), β), Contemporary Mathematics (CONM) Book Series Published by AMS, Vol. 645 (2015), pp. 283-291 [Proceedings of the 7th Conference on Function Spaces at SIUE 2014, Edwardsville, USA held during May 20-24, 2014].    

2. Soshal, Uaday Singh, Degree of approximation of fεL[0, ∞) by means of Laguerre – Fourier series, Mathematical Analysis and Its Applications (Vol. 143), pp. 207-217 [Springer Proceedings of ICRTMAA 2014 held at IIT Roorkee during December 21-23, 2014]. 

3. Uaday Singh, Shailesh Kumar Srivastava, Fourier Approximation of Functions Conjugate to the Functions Belonging to Weighted Lipschtiz Class, Lecture Notes in Engineering and Computer Science, 1(2013), 236-240. [Proceedings of WCE-2013 held at Imperial College of London, July 3-4, 2013]. 

4. Metric by Matrix Means, Communications in Computer and Information Sciences (Springer-Verlag), 283 (2012), 1-10. [Proceedings of ICMMSC-2012 held at Gandhigram Tamilnadu during March 16-18, 2012].   

5. Smita Sonker, Uaday Singh, Approximation of Signals (Functions) Belonging to  - Using Trigonometric Polynomials, Procedia Engineering (Elsevier), 38(2012), 1575-1585. [Proceedings of ICMOC-2012 held at Noorul Islam Centre for Higher Education during April 11-12, 2012].  

 

 

Books/Chapters/Monographs

1. Uaday Singh, Shailesh Kr. Srivastava, On the Degree of Approximation of Conjugate Functions in Weighted Lipschitz Class, Book chapter accepted for publication in IAENG Transactions on Engineering Sciences by CRC Press/Balkema, Taylor & Francis Group.
2. Uaday Singh, Fourier Approximation in Lp – Spaces (A monograph), VDM Verlag Dr. Müller Aktiengesellschaft & Co. KG, Germany, ISBN-NR 978-3-639-20410-0 (2009).
3. Reviewed the book “Theory and Problems of Complex Variables, SI (metric edition) by Spiegel” for its 2009 Edition.
4. A Chapter entitled STRAIGHT LINES in Mathematics Textbook for Class XI, published by NCERT, New Delhi (2006).
5. A Chapter entitled COORDINATE GEOMETRY in Mathematics Textbook for Class IX, published by NCERT, New Delhi (2006).

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