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Generalized Statistical Convergence Based on Fractional Order Difference Operator and Its Applications to Approximation Theorems

  • Published:2017-12-12 Issue:1 Volume:43 Page:225-237
  • ISSN:1028-6276
  • Container-title:Iranian Journal of Science and Technology, Transactions A: Science
  • language:en
  • Short-container-title:Iran J Sci Technol Trans Sci

Author:

Kadak Uğur

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy,General Mathematics,General Earth and Planetary Sciences,General Agricultural and Biological Sciences,General Chemistry

Reference35 articles.

1. Alotaibi A, Mursaleen M (2013) Generalized statistical convergence of difference sequences. Adv Differ Equ 2013:212

2. Altın A, Doğru O, Taşdelen F (2005) The generalization of Meyer-Konig and Zeller operators by generating functions. J Math Anal Appl 312:181–194

3. Aydin C, Başar F (2004) Some new difference sequence spaces. Appl Math Comput 157(3):677–693

4. Baliarsingh P (2013) Some new difference sequence spaces of fractional order and their dual spaces. Appl Math Comput 219(18):9737–9742

5. Baliarsingh P (2016) On a fractional difference operator. Alex Eng J 55(2):1811–1816

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1. Approximation by Szász‐Chlodowsky type operators associating 2D‐Appell polynomials;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2022-07-13

2. Paranormed Riesz Difference Sequence Spaces of Fractional Order;Kragujevac Journal of Mathematics;2022

3. Extended Bernstein-Kantorovich-Stancu Operators with Multiple Parameters and Approximation Properties;Numerical Functional Analysis and Optimization;2021-03-10

4. On the paranormed Nörlund difference sequence space of fractional order and geometric properties;Mathematica Slovaca;2021-01-29

5. A numerical comparative study of generalized Bernstein-Kantorovich operators;Mathematical Foundations of Computing;2021
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