Quantitative Voronovskaya- and Grüss–Voronovskaya-type theorems by the blending variant of Szász operators including Brenke-type polynomials

DOI10.3906/mat-1708-1zbMath1424.41040OpenAlexW2884754337MaRDI QIDQ5742707

Purshottam N. Agrawal, Ruchi Chauhan, Behar Baxhaku

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1708-1

zbMATH Keywords

bounded variationSzász operatorsBrenke polynomialsGrüss-VoronovskayaVoronovskaya-type

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) Simultaneous approximation (41A28) Approximation by positive operators (41A36)

Related Items (4)

Approximation by a novel Miheşan type summation-integral operator ⋮ Quantitative-Voronovskaja-type theorems for novel generalized-Szász-Durrmeyer operators incorporating the Sheffer sequences ⋮ Unnamed Item ⋮ Quantitative theorems for a rich class of novel Miheşan-type approximation operators incorporating the Boas-Buck polynomials

Uses Software

• Matlab

Cites Work

• The new forms of Voronovskaya's theorem in weighted spaces
• Quantitative \(q\)-Voronovskaya and \(q\)-Grüss-Voronovskaya-type results for \(q\)-Szász operators
• Szász-Durrmeyer type operators based on Charlier polynomials
• Generalization of Szasz operators involving Brenke type polynomials
• Baskakov-Szász-type operators based on inverse Pólya-Eggenberger distribution
• Moment estimations of new Szász-Mirakyan-Durrmeyer operators
• Quantitative convergence results for a family of hybrid operators
• Grüss-type and Ostrowski-type inequalities in approximation theory
• Quantum integral inequalities on finite intervals
• q-Voronovskaya type theorems forq-Baskakov operators
• Gr\"uss and Gr\"uss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables
• Quantitative estimates for Jain-Kantorovich operators
• Generalization of Bernstein's polynomials to the infinite interval
• Direct estimations of new generalized Baskakov-Szász operators
• Approximation of functions by a new class of linear operators
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