Summation‐Integral Type Operators Associated With Frobenius‐Euler Polynomials

ABSTRACT In this article, we construct a new class of summation‐integral type positive operators linked with Frobenius‐Euler polynomials. We obtain local approximation, Voronovskaya type theorems and rate of convergence of these operators within a weighted function space. Also, the rate of convergence for functions with derivatives of bounded variation is established. Finally, we examine the convergence rates of the operators through graphical representations.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2026-02-02
DOI
https://doi.org/10.1002/mma.70552
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
0.00
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article

Summation‐Integral Type Operators Associated With Frobenius‐Euler Polynomials

Arun Kajla, Abdullah Alotaibi, S. A. Mohiuddine, Deepak Bhardwaj
Mathematical Methods in the Applied Sciences
Approximation Theory and Sequence Spaces
article

Summation‐Integral Type Operators Associated With Frobenius‐Euler Polynomials

Arun Kajla, Abdullah Alotaibi, S. A. Mohiuddine, Deepak Bhardwaj
article en

Abstract

ABSTRACT In this article, we construct a new class of summation‐integral type positive operators linked with Frobenius‐Euler polynomials. We obtain local approximation, Voronovskaya type theorems and rate of convergence of these operators within a weighted function space. Also, the rate of convergence for functions with derivatives of bounded variation is established. Finally, we examine the convergence rates of the operators through graphical representations.

Mathematical Methods in the Applied Sciences
King Abdulaziz University (SA), Central University of Haryana (IN)
Reduced inequalities
Openalex Percentile: Top 72%
Approximation Theory and Sequence Spaces
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