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

Abdullah Alotaibi
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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

Mathematics, 2022, vol. 10, issue 5, 1-21

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.

Keywords: Szász operators; q -integers; Appell polynomial; Jakimovski–Leviatan operators; simultaneous approximation; mixed-modulus of continuity; Bögel functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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