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February 5, 2026Mathematical Methods in the Applied Sciences0 citations

Summation‐Integral Type Operators Associated With Frobenius‐Euler Polynomials

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DBDeepak BhardwajSMS. A. MohiuddineAKArun Kajla

Key Points

  • The aim is to develop a new class of positive operators associated with Frobenius-Euler polynomials and analyze their convergence properties.
  • Constructed a new class of positive summation-integral type operators
  • Analyzed local approximation within a weighted function space
  • Derived Voronovskaya type theorems
  • Established convergence rates for functions with bounded variation
  • Utilized graphical representations to examine convergence rates
  • Proved local approximation properties of the new operators
  • Demonstrated Voronovskaya type theorems for the constructed operators
  • Established clear rates of convergence for the operators
  • Showed effective convergence behavior via graphical analysis

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.

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Cite This Study

Bhardwaj et al. (2026) studied this question.

synapsesocial.com/papers/698434ebf1d9ada3c1fb3a85https://doi.org/10.1002/mma.70552
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