Research Interests
Approximation of functions by Fourier series, Singular Integrals, Neural Network Operators.
BioSketch
Research
1. P. N. Agrawal, RN Mohapatra, U Singh, HM Srivastava, Mathematical Analysis and its Applications: Roorkee, India, 143(2014) (Edited the Proceedings Published by Springer).
2. Uaday Singh, Shailesh Kr. Srivastava, On the Degree of Approximation of Conjugate Functions in Weighted Lipschitz Class, Book chapter), IAENG Transactions on Engineering Sciences by CRC Press/Balkema, Taylor & Francis Group, pp. 81-89(2014).
3. 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).
4. Reviewed the book “Theory and Problems of Complex Variables, SI (metric edition) by Spiegel” for its 2009 Edition.
5. A Chapter entitled STRAIGHT LINES in Mathematics Textbook for Class XI, published by NCERT, New Delhi (2006).
6. A Chapter entitled COORDINATE GEOMETRY in Mathematics Textbook for Class IX, published by NCERT, New Delhi (2006).
Honors And Awards
Teaching Engagements
Students
Miscellaneous
(Web of Science Researcher ID AAY-1275-2020, MATHSCINET MR Author ID: 753824)
1. Manju Sharma, Uaday Singh, Some density results by deep Kantorovich type neural network operators, J. Math. Anal. Appl. 533(2), 2024, 128009.
2. Abhay Pratap Singh, Uaday Singh, Approximation of functions in a generalized Hӧlder-Lebesgue space by means of the Gauss-Weierstrass singular integral, J. Nonlinear and Convex Anal, 25(9), 2024, 2295-2304.
3. Abhay Pratap Singh, Uaday Singh, Approximation properties of a modified Gauss-Weierstrass singular integral in a weighted space, J. Inequal. Appl. 94(2024), https://doi.org/10.1186/s13660-024-03171-9.
4. Abhay Pratap Singh, Uaday Singh, Approximation of functions in a weighted Lebesgue space by means of the Picard singular integral, J. Math. Inequal. 17(4) (2023), 1551-1563.
5. Uaday Singh, Birendra Singh, On rate of convergence of matrix means of corrected Fourier series, Appl. Math. Comput., 457 (C), 2023, 128216, doi.org/10.1016/j.amc.2023.
6. Manju Sharma, Uaday Singh, Approximation by a neural network interpolation operator for irregular grid points, J. Nonlinear and Convex Anal, 24(9), 2023, 1919-1928.
7. Birendra Singh, Uaday Singh, Fourier Series Approximation in Besov Spaces, Journal of Mathematics, vol. 2023, Article ID 4250869, 8 pages, 2023. https://doi.org/10.1155/2023/4250869.
8. Uaday Singh, Soshal Saini, Uniform approximation on L[0, ∞)-Space by Cesáro Means of Laguerre Series, Proc. Nat. Acad. Sci. India Sect. A 92(2022), 179–185.
9. W. Łenski, Uaday Singh, B. Szal, Trigonometric approximation of functions in seminormed spaces, Math. Equal. Appl. 24(1) (2021), 89–101.
10. Uaday Singh, On the trigonometric approximation of functions in a weighted Lipschitz class, J. Anal. 29(2021), 325-335.
11. Singh, Birendra; Singh, Uaday, Some characterizations of Hausdorff matrices and their application to Fourier approximation. J. Comput. Appl. Math. 367 (2020), 112450, 8 pp.
12. 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, 155–16.
13. 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.
14. 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.
15. 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.
16. 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(2018), no. 3, 371-379.
17. Uaday Singh, Soshal Saini, Approximation of Periodic Functions in certain subclasses of Lp [0, 2π], Asian-European J. Math. 10 (3) (2017), 12 pp.
18. 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.
19. 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.
20. Shashi Sharma, Uaday Singh, V. K. Katiyar, Magnetic Field Effect on Floe Parameters of Blood along with Magnetic Particles in a Cylindrical Tube, J. Magnetisms and Magnetic Materials, 377(2015), 395 - 401.
21. Shashi Sharma, V. K. Katiyar, Uaday Singh, Mathematical Modelling for Trajectories of Magnetic Nanoparticles in a Blood Vessel under Magnetic Field, J. Magnetisms and Magnetic Materials, 379(2015), 102-107.
22. S. Sharma, U. Singh, V. K. Katiyar, Modeling and in vitro study on capture efficiency of magnetic nanoparticles transported in an implant-assisted cylindrical tube under magnetic field, Microfluidics and Nanofluidics 19(2015), 1061-1070.
23. S. Sharma, U. Singh, V. K. Katiyar, Modeling and in vitro study on capture efficiency of magnetic nanoparticles transported in an implant-assisted cylindrical tube under magnetic field, Microfluidics and Nanofluidics 19 (2015), 1061-1070.
24. S. Sharma, V. K. Katiyar, U. Singh, Mathematical modeling on capturing of magnetic nanoparticles in an implant assisted channel for magnetic drug targeting, Int. J. Environmental, Chemical, Ecological, Geological and Geophysical Engineering, 2015, 1082-1085.
25. 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.
26. 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.
27. 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.
28. Singh, Uaday; Sonker, Smita, Trigonometric approximation of signals (functions) belonging to weighted (Lp, ξ(t))-class by Hausdorff means. J. Appl. Funct. Anal. 8(1) (2013), 37- 44.
29. 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.
30. 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, 7pp.
31. 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(2012), 11 pp.
32. 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.
33. Mittal, M. L.; Singh, Uaday, T.C1 summability of a sequence of Fourier coefficients. Appl. Math. Comput. 204 (2008), no. 2, 702-706.
34. 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.
35. 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.
1. Manju Sharma; Uaday Singh, Fractional Neural Network Interpolation Operator for Irregular Grid Points, New Tools in Mathematical Analysis and Applications, Research Perspectives, 2025, 47-59. Proceedings of the 14th ISAAC Congress 2023, Ribeirão Preto, Brazil, https://doi.org/10.1007/978-3-031-77050-0-28.
2. Saini, Soshal; Singh, Uaday, Approximation of functions in a weighted Lp-norm by summability means of Fourier series, Recent Developments in Algebra and Analysis, Vol. 1(2024), 315–326. (Birkhäuser/Springer, Cham©2024)[Proceedings of International Conference on Recent Developments in Mathematics, Dubai, 2022].
3. Birendra Singh, Uaday Singh, On Strong Approximation in Generalized Hölder and Zygmund Spaces. Comput. Sci. Math. Forum 2023, 7(9), https://doi.org/10.3390/IOCMA2023-14433.
4. 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 [Proceedings of the 7th Conference on Function Spaces at SIUE 2014, Edwardsville, USA held during May 20-24, 2014], Vol. 645 (2015), pp. 283-291.
5. S. Sharma, A. Gaur, U. Singh, V. K. Katiyar, Capture efficiency of magnetic nanoparticles in a tube under magnetic field, Procedia Materials Science 10(2015), 64-69 [2nd International Conference on Nanomaterials and Technologies (CNT 2014)]
6. Soshal, Uaday Singh, Degree of approximation of f εL[0, ∞) by means of Laguerre – Fourier series, Mathematical Analysis and Its Applications (Springer Proceedings in Mathematics & Statistics, Vol. 143) [Proceedings of ICRTMAA 2014 held at IIT Roorkee during December 21-23, 2014] , pp. 207-217.
7. 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].
8. 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].
9. Uaday Singh, Smita Sonker, Degree of Approximation of Function f ɛHp(w) Class in Generalised Hölder 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].
