Open AccessApproximation theorems in weighted Lebesgue spaces with variable exponent
Author(s) -
Ahmet Testici
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2102561t
Subject(s) - mathematics , lp space , lebesgue integration , exponent , class (philosophy) , lebesgue's number lemma , standard probability space , pure mathematics , constructive , inverse , variable (mathematics) , mathematical analysis , discrete mathematics , riemann integral , operator theory , banach space , process (computing) , philosophy , linguistics , geometry , artificial intelligence , computer science , fourier integral operator , operating system
In this work, approximation properties of de la Vall?e-Poussin means are investigated in weighted Lebesgue spaces with variable exponent where weight function belongs to Muckenhoupt class. For this purpose direct, inverse and simultaneous theorems of approximation theory are proved and constructive characterizations of functions are obtained in weighted Lebesgue spaces with variable exponent.