Uniform boundedness of Kantorovich operators in variable exponent Lebesgue spaces

DOI10.2298/FIL1918755AzbMath1499.41049OpenAlexW3000799397WikidataQ126308748 ScholiaQ126308748MaRDI QIDQ5864379

Sezgin Akbulut, Ebubekir Akkoyunlu, Rabil Ayazoglu (Mashiyev)

Publication date: 7 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1918755a

zbMATH Keywords

uniform boundednessvariable exponent Lebesgue spacesKantorovich operators

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
• \(L_p\)-approximation by Kantorovic operators
• Degree of \(L_1\) approximation to integrable functions by modified Bernstein polynomials
• Die Gute der \(L_p\)-Approximation durch Kantorovic-Polynome
• Uniform boundedness of Kantorovich operators in Morrey spaces
• The \(L_ 1\) norm of the approximation error for Bernstein-type polynomials
• On Convergence of Bernstein – Kantorovich Operators sequence in Variable Exponent Lebesgue Spaces
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• $L^p$-convergence of Bernstein-Kantorovich-type operators
• Güteabschätzungen für den Kantorovic-Operator in der \(L_1\)-Norm
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