Local and global approximation for certain \((p,q)\)-Durrmeyer type operators

DOI10.1007/s11785-017-0714-0zbMath1402.41007OpenAlexW2741760307MaRDI QIDQ1623872

Vijay Gupta, Neha Malik, Ana-Maria Acu

Publication date: 23 November 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-017-0714-0

zbMATH Keywords

global approximationlocal approximation\((p,q)\)-gamma function\((p,q)\)-numbersDurrmeyer variantKing's approach

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items

Convergence properties of certain positive linear operators, Results Concerning Certain Linear Positive Operators, Statistical Summability of Double Sequences by the Weighted Mean and Associated Approximation Results, Quantitative estimates for the tensor product (p,q)-Balázs-Szabados operators and associated generalized Boolean sum operators

Uses Software

• Matlab

Cites Work

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• On Kantorovich modification of \((p,q) \)-Baskakov operators
• \((p,q)\)-genuine Bernstein Durrmeyer operators
• On certain \(q\)-Durrmeyer type operators
• Positive linear operators which preserve \(x^2\)
• On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
• \((p,q)\)-beta functions and applications in approximation
• Some approximation properties of \(q\)-Durrmeyer operators
• Representations of two parameter quantum algebras and \(p,q\)-special functions
• Applications of q-Calculus in Operator Theory
• (p,q)‐Generalization of Szász–Mirakyan operators
• Convergence Estimates in Approximation Theory