Direct estimates of certain Miheşan-Durrmeyer type operators

DOI10.22034/aot.1612-1079zbMath1470.41019OpenAlexW2598575056MaRDI QIDQ525319

Arun Kajla

Publication date: 3 May 2017

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: http://www.aot-math.org/article_43785_96f1e2166cea1812c168d235131ebc57.pdf

zbMATH Keywords

rate of convergencemodulus of continuitypositive approximation processSteklov mean

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 (10)

Approximation by a novel Miheşan type summation-integral operator ⋮ Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials ⋮ Unnamed Item ⋮ On the order of approximation by modified summation-integral-type operators based on two parameters ⋮ Better approximation by a Durrmeyer variant of \(\alpha-\) Baskakov operators ⋮ Quantitative-Voronovskaja-type theorems for novel generalized-Szász-Durrmeyer operators incorporating the Sheffer sequences ⋮ Unnamed Item ⋮ Further results concerning some general Durrmeyer type operators ⋮ A note on the general family of operators preserving linear functions ⋮ Quantitative theorems for a rich class of novel Miheşan-type approximation operators incorporating the Boas-Buck polynomials

Cites Work

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• A certain family of summation-integral type operators
• Baskakov-Szász-type operators based on inverse Pólya-Eggenberger distribution
• Direct estimates for certain Szász type operators
• Asymptotic formulas for generalized Szász-Mirakyan operators
• Direct results for certain summation-integral type Baskakov-Szász operators
• Direct and inverse estimates for Phillips type operators
• Direct estimates for a new general family of Durrmeyer type operators
• Convergence of derivatives for certain mixed Szasz--Beta operators
• An inversion formula for Laplace transforms and semi-groups of linear operators
• Applications of q-Calculus in Operator Theory
• Convergence Estimates in Approximation Theory

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