Convergence in phi-variation and rate of approximation for nonlinear integral operators using summability process

DOI10.1007/s00009-020-01623-2OpenAlexW3100956135MaRDI QIDQ2218615

İsmail Aslan

Publication date: 15 January 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-020-01623-2

zbMATH Keywords

rate of approximationnonlinear integral operatorssummability processconvolution-type integral operatorsbounded \(\varphi\)-variation

Mathematics Subject Classification ID

Integral operators (47G10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation to limiting values (summation of series, etc.) (40A25) Functions of bounded variation, generalizations (26A45)

Related Items (6)

Approximation to integrable functions by modified complex Shepard operators ⋮ Multivariate approximation in φ\varphi-variation for nonlinear integral operators via summability methods ⋮ Approximation to the classical fractals by using non-affine contraction mappings ⋮ Max-product Shepard operators based on multivariable Taylor polynomials ⋮ Approximation by pseudo-linear discrete operators ⋮ Approximation by Kantorovich-type max-min operators and its applications

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