Szász-Baskakov type operators based on \(q\)-integers

DOI10.1186/1029-242X-2014-441zbMath1334.41024OpenAlexW2005933398WikidataQ59320074 ScholiaQ59320074MaRDI QIDQ260162

Harun Karsli, Meenu Goyal, Purshottam N. Agrawal

Publication date: 18 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-441

zbMATH Keywords

rate of convergencemodulus of continuitystatistical convergenceweighted approximationLipschitz type maximal functionpoint-wise estimatesSzász-Baskakov operators

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 (6)

Rate of convergence of Szász-beta operators based on \(q\)-integers ⋮ Rate of convergence of Stancu type modified \(q\)-Gamma operators for functions with derivatives of bounded variation ⋮ A note on \(\alpha\)-Baskakov-Durrmeyer-type operators ⋮ Rates of weighted statistical convergence for a generalization of positive linear operators ⋮ Unnamed Item ⋮ \(q\)-Lupas Kantorovich operators based on Polya distribution

Cites Work

• Statistical approximation of a kind of Kantorovich type \(q\)-Szász-Mirakjan operators
• Some approximation properties of Baskakov-Durrmeyer-Stancu operators
• Stancu type generalization of modified Schurer operators based on \(q\)-integers
• Weighted approximation by \(q\)-Szász-King type operators
• Weighted statistical approximation by Kantorovich type \(q\)-Szász-Mirakjan operators
• \(q\)-Szász-Mirakyan-Kantorovich type operators preserving some test functions
• On Stancu type generalization of \(q\)-Baskakov operators
• \(A\)-statistical approximation of generalized Szász-Mirakjan-Beta operators
• A note on \(q\)-Baskakov-Szász operators
• Error estimation for mixed summation-integral type operators
• Statistical approximation by a modification of \(q\)-Meyer-König and Zeller operators
• The \(q\)-derivate and applications to \(q\)-Sz'asz Mirakyan operators
• A generalization of Szász-Mirakyan operators based on \(q\)-integers
• Some approximation theorems via statistical convergence.
• Positive linear operators which preserve \(x^2\)
• Some approximation properties by \(q\)-Szász-Mirakyan-Baskakov-Stancu operators
• Statistical approximation properties of \(q\)-Baskakov-Kantorovich operators
• Statistical approximation properties of \(q\)-Bleimann, Butzer and Hahn operators
• On \(q\)-analogue of Bernstein-Schurer-Stancu operators
• Weighted simultaneous approximation with Baskakov type operators
• Convergence of derivatives for certain mixed Szasz--Beta operators
• The rate of convergence ofq-Durrmeyer operators for 0<q<1
• Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators
• Matrix Summability of Statistically Convergent Sequences
• Statistical approximation by positive linear operators
• Applications of q-Calculus in Operator Theory
• Quantum calculus
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