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Approximation of GBS Type q -Jakimovski-Leviatan-Beta Integral Operators in Bögel Space

Author

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  • Abdullah Alotaibi

    (Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

Abstract

In the present article, we introduce the bivariate variant of Beta integral type operators based on Appell polynomials via q -calculus. We study the local and global type approximation properties for these new operators. Next, we introduce the GBS form for these new operators and then study the degree of approximation by means of modulus of smoothness, mixed modulus of smoothness and Lipschitz class of Bögel continuous functions.

Suggested Citation

  • Abdullah Alotaibi, 2022. "Approximation of GBS Type q -Jakimovski-Leviatan-Beta Integral Operators in Bögel Space," Mathematics, MDPI, vol. 10(5), pages 1-21, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:675-:d:755385
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    References listed on IDEAS

    as
    1. Eini Keleshteri, Marzieh & Mahmudov, Nazim I., 2015. "A study on q-Appell polynomials from determinantal point of view," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 351-369.
    2. Qing-Bo Cai & Bayram Çekim & Gürhan İçöz, 2021. "Gamma Generalization Operators Involving Analytic Functions," Mathematics, MDPI, vol. 9(13), pages 1-8, July.
    3. Sezgin Sucu & Serhan Varma, 2019. "Approximation by Sequence of Operators Involving Analytic Functions," Mathematics, MDPI, vol. 7(2), pages 1-10, February.
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    Cited by:

    1. Noor Alam & Waseem Ahmad Khan & Cheon Seoung Ryoo, 2022. "A Note on Bell-Based Apostol-Type Frobenius-Euler Polynomials of Complex Variable with Its Certain Applications," Mathematics, MDPI, vol. 10(12), pages 1-26, June.

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