Have a personal or library account? Click to login
Relative Uniform Convergence of Quantum Difference Sequence of Functions Related to ℓp-Space Defined by Orlicz Function Cover

Relative Uniform Convergence of Quantum Difference Sequence of Functions Related to ℓp-Space Defined by Orlicz Function

Open Access
|Jan 2025

References

  1. V.K. Bhardwaj and N. Singh, Some sequence spaces defined by Orlicz functions, Demonstratio Math. 33 (2000), no. 3, 571–582.
  2. T. Bilgin, Some new difference sequences spaces defined by an Orlicz function, Filomat No. 17 (2003), 1–8.
  3. E.W. Chittenden, On the limit functions of sequences of continuous functions converging relatively uniformly, Trans. Amer. Math. Soc. 20 (1919), no. 2, 179–184.
  4. K. Demirci, A. Boccuto, S. Yıldız, and F. Dirik, Relative uniform convergence of a sequence of functions at a point and Korovkin-type approximation theorems, Positivity 24 (2020), no. 1, 1–11.
  5. K. Demirci, F. Dirik, and S. Yıldız, Approximation via statistical relative uniform convergence of sequences of functions at a point with respect to power series method, Afr. Mat. 34 (2023), no. 3, Paper No. 39, 10 pp.
  6. K. Demirci and S. Orhan, Statistically relatively uniform convergence of positive linear operators, Results Math. 69 (2016), no. 3–4, 359–367.
  7. K.R. Devi and B.C. Tripathy, On relative uniform convergence of double sequences of functions, Proc. Nat. Acad. Sci. India Sect. A 92 (2022), no. 3, 367–372.
  8. K.R. Devi and B.C. Tripathy, Relative uniform convergence of difference sequence of positive linear functions, Trans. A. Razmadze Math. Inst. 176 (2022), no. 1, 37–43.
  9. K.R. Devi and B.C. Tripathy, Relative uniform convergence of difference double sequence of positive linear functions, Ric. Mat. 72 (2023), no. 2, 961–972.
  10. M. Güngör, M. Et, and Y. Altin, Strongly (Vσ, λ, q)-summable sequences defined by Orlicz functions, Appl. Math. Comput. 157 (2004), no. 2, 561–571.
  11. F.H. Jackson, On q-definite integrals, Quart. J. Pure Appl. Math. 41 (1910), 193–203.
  12. J. Lindenstrauss and L. Tzafriri, On Orlicz sequence spaces, Israel J. Math. 10 (1971), 379–390.
  13. E.H. Moore, Introduction to a Form of General Analysis, The New Haven Mathematical Colloquium, Yale University Press, New Haven, 1910.
  14. J. Musielak, Orlicz Spaces and Modular Spaces, Lecture Notes in Math., 1034, Springer-Verlag, Berlin, 1983.
  15. J. Musielak and W. Orlicz, On modular spaces, Studia Math. 18 (1959), 49–65.
  16. J. Musielak and W. Orlicz, On modular spaces of strongly summable sequences, Studia Math. 22 (1962/63), 127–146.
  17. J. Musielak and A. Waszak, Sequence spaces generated by moduli of smoothness, Rev. Mat. Univ. Complut. Madrid 8 (1995), no. 1, 91–105.
  18. H. Nakano, Modulared sequence spaces, Proc. Japan Acad. 27 (1951), 508–512.
  19. S.D. Parashar and B. Choudhary, Sequence spaces defined by Orlicz function, Indian J. Pure Appl. Math. 25 (1994), no. 4, 419–428.
  20. D. Rath and B.C. Tripathy, Characterization of certain matrix operations, J. Orissa Math. Soc. 8 (1989), 121–134.
  21. P.O. Şahin and F. Dirik, Statistical relative uniform convergence of double sequences of positive linear operators, Appl. Math. E-Notes 17 (2017), 207–220.
  22. W.L.C. Sargent, Some sequence spaces related to ℓp spaces, J. London Math. Soc. 35 (1960), 161–171.
  23. B.C. Tripathy, Matrix maps on the power-series convergent on the unit disc, J. Anal. 6 (1998), 27–31.
  24. B.C. Tripathy and S. Mahanta, On a class of sequences related to the ℓp space defined by Orlicz functions, Soochow J. Math. 29 (2003), no. 4, 379–391.
  25. B.C. Tripathy and M. Sen, On a new class of sequences related to the space ℓp, Tamkang J. Math. 33 (2002), no. 2, 167–171.
  26. S. Yıldız, K. Demirci, and F. Dirik, Korovkin theory via Pp-statistical relative modular convergence for double sequences, Rend. Circ. Mat. Palermo (2) 72 (2023), no. 2, 1125–1141.
DOI: https://doi.org/10.2478/amsil-2024-0026 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 248 - 268
Submitted on: Mar 1, 2024
Accepted on: Dec 5, 2024
Published on: Jan 8, 2025
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:

© 2025 Diksha Debbarma, Binod Chandra Tripathy, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.