Integral modification of beta-Apostol-Genocchi operators

DOI10.3934/mfc.2022039zbMath1529.41025OpenAlexW4312814409MaRDI QIDQ6167870

Naokant Deo, Neha

Publication date: 7 August 2023

Published in: Mathematical Foundations of Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mfc.2022039

zbMATH Keywords

rate of convergencemodulus of continuitybounded variationdirect approximation theoremApostol-Genocchi polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Rate of convergence, degree of approximation (41A25) Special sequences and polynomials (11B83) Approximation by positive operators (41A36)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modification and unification of the Apostol-type numbers and polynomials and their applications
• Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus
• Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi poly\-nomials
• Some approximation properties of Baskakov-Durrmeyer-Stancu operators
• Durrmeyer type modification of generalized Baskakov operators
• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• Extensions of the Genocchi polynomials and their Fourier expansions and integral representations
• Convergence of the \(q\) analogue of Szász-Beta operators
• Korovkin-type approximation theory and its applications
• Jain-Durrmeyer operators associated with the inverse Pólya-Eggenberger distribution
• Simultaneous approximation on generalized Bernstein-Durrmeyer operators
• Approximation by a new sequence of operators involving Apostol-Genocchi polynomials
• Some results for the Apostol-Genocchi polynomials of higher order
• Asymptotic approximation of functions and their derivatives by generalized Baskakov-Százs-durrmeyer operators
• New modified Baskakov operators based on the inverse Pólya-Eggenberger distribution

This page was built for publication: Integral modification of beta-Apostol-Genocchi operators