Research Interests
Real Analysis, Complex Analysis, Fourier Approximation, Summability
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
List of Selected Journal Publications (Web of Science Researcher ID AAY-1275-2020, MATHSCINET MR Author ID: 753824)
1. Uaday Singh, Soshal Saini, Uniform approximation on 
-Space by Cesáro Means of Laguerre Series, Proc. Nat. Acad. Sci. India Sect. A 92, pages179–185 (2022)
2. W. Łenski, Uaday Singh, B. Szal, Trigonometric approximation of functions in seminormed spaces, Math. Equal. Appl. 24 (2021), no. 1, 89–101.
3. On the trigonometric approximation of functions in a weighted Lipschitz class, J. Anal. 29(2021), 325-335.
4. Singh, Birendra; Singh, Uaday, Some characterizations of Hausdorff matrices and their application to Fourier approximation. J. Comput. Appl. Math. 367 (2020), 112450, 8 pp.
5. 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.
6. 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.
7. 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.
8. 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.
9. 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.
10. Uaday Singh, Soshal Saini, Approximation of Periodic Functions in certain subclasses of Lp [0, 2π], Asian-European J. Math. 10(2017), no. 3, 12 pp.
11. 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.
12. Soshal, Uaday Singh, Approximation of periodic integrable functions in terms of modulus of continuity, Acta et Commentationes Universitatis Tartuensis de Mathematica, 20(2016), no. 1, 23-34.
13. 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.
14. 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.
15. 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.
16. 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.
17. 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.
18. 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.
19. 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.
20. 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.
21. Mittal, M. L.; Singh, Uaday, T.C1 summability of a sequence of Fourier coefficients. Appl. Math. Comput. 204 (2008), no. 2, 702–706.
22. 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.
23. 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.
24. 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.
25. 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.
Research Papers in Conference Proceedings:
1. 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.
2. 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.
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. 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].
5. Uaday Singh, Smita Sonker, Degree of Approximation of Function f ЄHp(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].
