Approximation of Bögel continuous functions and deferred weighted A-statistical convergence by Bernstein-Kantorovich type operators on a triangle

DOI10.7153/jmi-2021-15-116zbMath1494.41009OpenAlexW3216849491MaRDI QIDQ5028950

Ruchi Chauhan, Tarul Garg, Ana-Maria Acu, Purshottam N. Agrawal

Publication date: 11 February 2022

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2021-15-116

zbMATH Keywords

statistical convergencemixed modulus of smoothnessBögel continuousBögel differentiablegeneralized Boolean sum

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (2)

Convergence theorems in Orlicz and Bögel continuous functions spaces by means of Kantorovich discrete type sampling operators ⋮ Unnamed Item

Cites Work

• Statistical weighted \(A\)-summability with application to Korovkin's type approximation theorem
• A Kantorovich variant of a new type Bernstein-Stancu polynomials
• The remainder in the approximation by a generalized Bernstein operator: A representation by a convex combination of second-order divided differences
• Some approximation theorems via statistical convergence.
• The Durrmeyer variant of an operator defined by D.D. Stancu
• Deferred weighted \(\mathcal{A}\)-statistical convergence based upon the \((p, q)\)-Lagrange polynomials and its applications to approximation theorems
• Recent advances in constructive approximation theory
• The Kantorovich variant of an operator defined by D. D. Stancu
• Generalized statistically almost convergence based on the difference operator which includes the \((p,q)\)-gamma function and related approximation theorems
• Approximation by bivariate generalized Bernstein-Schurer operators and associated GBS operators
• Bivariate positive linear operators constructed by means of \(q\)-Lagrange polynomials
• Generalization of equi-statistical convergence via weighted lacunary sequence with associated Korovkin and Voronovskaya type approximation theorems
• Approximation of functions of two variables by certain linear positive operators
• The generalization of Meyer-König and Zeller operators by generating functions
• On positive operators involving a certain class of generating functions
• A test function theorem and apporoximation by pseudopolynomials
• Über mehrdimensionale Differentiation, Integration und beschränkte Variation.
• Approximation properties of λ‐Bernstein‐Kantorovich operators with shifted knots
• Generalized Bernstein‐Kantorovich–type operators on a triangle
• Sur la convergence statistique
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximation of Bögel continuous functions and deferred weighted A-statistical convergence by Bernstein-Kantorovich type operators on a triangle