Weighted αβ-statistical convergence of Kantorovich-Mittag-Leffler operators

DOI10.1515/ms-2015-0171zbMath1389.41039OpenAlexW2515786322MaRDI QIDQ2826333

Mehmet Ali Özarslan, Hüseyin Aktuğlu

Publication date: 14 October 2016

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2015-0171

zbMATH Keywords

statistical convergenceBernoulli numberslacunary statistical convergenceSzász-Mirakjan operators\(\lambda \)-statistical convergence\(\alpha \beta \)-statistical convergenceKantorovich-Mittag-Leffler operatorsLipschitz class functionals

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Cites Work

• \(A\)-statistical approximation of generalized Szász-Mirakjan-Beta operators
• Generalization of Szasz operators involving Brenke type polynomials
• On an integral transform of a class of analytic functions
• Rates of \(A\)-statistical convergence of positive linear operators
• Statistical approximation by a modification of \(q\)-Meyer-König and Zeller operators
• Statistical approximation results for Kantorovich-type operators involving some special polynomials
• Lacunary equi-statistical convergence of positive linear operators
• Generalizations of the Bernoulli and Appell polynomials
• A Kantorovich type of Szasz operators including Brenke-type polynomials
• Rates of \(A\)-statistical convergence of operators in the space of locally integrable functions
• The generalization of Meyer-König and Zeller operators by generating functions
• A note on improved estimations for integrated Szász-Mirakyan operators
• On generalized Szász-Mirakyan operators of functions of two variables
• ON STATISTICAL CONVERGENCE
• Matrix Summability of Statistically Convergent Sequences
• q-Szász operators which preserve x 2