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 L_{p }– 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 L_{p}-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 L_{p }[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 (L*p*, 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(L*r*, ξ(*t*)) class by matrix (C1.N_{p}) 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 7*^{th} *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* ЄH_{p}^{(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*].