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Research Article | Open Access

On the convergence properties of generalized Szász–Kantorovich type operators involving Frobenious–Euler–Simsek-type polynomials

Gaziantep University, Naci Topçuoğlu Vocational School, TR-27310 Gaziantep, Turkey
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Abstract

This work focuses on the study of approximation properties of functions by Szász type operators involving Frobenius–Euler–Simsek-type polynomials, which have become more popular recently because of their special characteristics and functional organization. The convergence properties such as uniformly convergence and pointwise convergence in terms of modulus of continuity and Peetre- K functional are investigated with the help of these sequences of operators in depth. This paper also includes the estimation of the error of the approximation of these sequences of operators to some particular class of functions. The estimates are depicted using the Maple scientific computing program and presented in tables.

CLC number: 05A10, 05A15, 05A19, 11B37, 11B68, 11B73, 11S80, 11S23, 34A99, 41A25, 41A3

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AIMS Mathematics
Pages 28195-28210

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Cite this article:
Agyuz E. On the convergence properties of generalized Szász–Kantorovich type operators involving Frobenious–Euler–Simsek-type polynomials. AIMS Mathematics, 2024, 9(10): 28195-28210. https://doi.org/10.3934/math.20241367

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Received: 30 June 2024
Revised: 22 September 2024
Accepted: 23 September 2024
Published: 15 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)