Genuine modified Bernstein-Durrmeyer operators

DOI10.1186/s13660-018-1693-zzbMath1497.41019OpenAlexW2806670734WikidataQ55361419 ScholiaQ55361419MaRDI QIDQ824552

Syed Abdul Mohiuddine, Tuncer Acar, Mohammed Ali Alghamdi

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1693-z

zbMATH Keywords

rate of convergencegenuine Bernstein-Durrmeyer operatorsGruss-Voronovskaya theoremquantitative Voronovskaya theorem

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items

A generalized Dunkl type modifications of Phillips operators, Approximation by bivariate generalized Bernstein-Schurer operators and associated GBS operators, Modified approximation and error estimation for King's type \((p, q)\)-BBH operators, Convergence analysis of modified Bernstein-Kantorovich type operators, On the rate of convergence of two generalized Bernstein type operators, Approximation properties of Kantorovich type \(q\)-Balázs-Szabados operators, On the convergence of a family of Chlodowsky type Bernstein-Stancu-Schurer operators, Unnamed Item, Approximation of functions by a new class of generalized Bernstein-Schurer operators, Approximation properties for the genuine modified Bernstein-Durrmeyer-Stancu operators, Rate of approximation for modified Lupaş-Jain-beta operators, Approximation on parametric extension of Baskakov-Durrmeyer operators on weighted spaces, Stancu type \(q\)-Bernstein operators with shifted knots, Approximation on a class of Szász-Mirakyan operators via second kind of beta operators, Approximation on a class of Phillips operators generated by \(q\)-analogue, Dunkl-type generalization of the second kind beta operators via \((p, Q)\)-calculus, On sequences of J. P. King-type operators, Convergence of modified Szász-Mirakyan-Durrmeyer operators depending on certain parameters, A note on the convergence of Phillips operators by the sequence of functions via \(q\)-calculus, Construction of Stancu-type Bernstein operators based on Bézier bases with shape parameter \(\lambda\), GENUINE MODIFIED BASKAKOV-DURRMEYER OPERATORS, Approximation by Jakimovski-Leviatan-beta operators in weighted space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The new forms of Voronovskaya's theorem in weighted spaces
• Quantitative \(q\)-Voronovskaya and \(q\)-Grüss-Voronovskaya-type results for \(q\)-Szász operators
• Asymptotic formulae via a Korovkin-type result
• An application of almost convergence in approximation theorems
• Convergence in variation for Bernstein-type operators
• Korovkin type approximation theorems obtained through generalized statistical convergence
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Asymptotic formulas for generalized Szász-Mirakyan operators
• Generalized statistically almost convergence based on the difference operator which includes the \((p,q)\)-gamma function and related approximation theorems
• The genuine Bernstein-Durrmeyer operators revisited
• Grüss-type and Ostrowski-type inequalities in approximation theory
• On the generalized Szász-Mirakyan operators
• Approximation by modified Szász-Durrmeyer operators
• Voronovskaya Type Theorems in Weighted Spaces
• Construction of a new family of Bernstein-Kantorovich operators
• 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
• Approximation by k-th order modifications of Szász—Mirakyan operators