Approximating Functions in the Power-Type Weighted Variable Exponent Sobolev Space by the Hardy Averaging Operator

Ayazoglu, Rabil; Ekincioglu, Ismail; Şener Kılıç, Sıdıka Şule

doi:10.2298/fil2210321a

Makale Tam Makale Uluslararası 2022

Approximating Functions in the Power-Type Weighted Variable Exponent Sobolev Space by the Hardy Averaging Operator

Rabil Ayazoglu, Ismail Ekincioglu, Sıdıka Şule Şener Kılıç

FILOMAT Cilt 36 · Sayı 10 · ss. 3321–3330 · 01.01.2022

DOI ile aç

Özet

We investigate the problem of approximating function f in the power-type weighted variable exponent Sobolev space W-alpha(.)(r,p(.)) (0, 1), (r = 1, 2,...), by the Hardy averaging operator A (f) (x) = 1/x integral(x)(0) f (t)dt. If the function f lies in the power-type weighted variable exponent Sobolev space W-alpha(.)(r,p(.)) (0, 1), it is shown that

Anahtar kelimeler

Approximation Hardy averaging operator Power-type weighted Sobolev spaces with variable exponent Power-type weighted grand Lebesgue spaces with variable exponent KANTOROVICH OPERATORS UNIFORM BOUNDEDNESS MAXIMAL-FUNCTION LEBESGUE SPACES INEQUALITIES

Atıf için künye

Ayazoglu, R., Ekincioglu, I., & Şener Kılıç, S. Ş. (2022). Approximating Functions in the Power-Type Weighted Variable Exponent Sobolev Space by the Hardy Averaging Operator. FILOMAT, 36(10), 3321–3330. https://doi.org/10.2298/fil2210321a

BibTeX

@article{ayazoglu2022-57446,
  author = {Ayazoglu, Rabil and Ekincioglu, Ismail and Şener Kılıç, Sıdıka Şule},
  title = {Approximating Functions in the Power-Type Weighted Variable Exponent Sobolev Space by the Hardy Averaging Operator},
  journal = {FILOMAT},
  year = {2022},
  volume = {36},
  number = {10},
  pages = {3321--3330},
  issn = {0354-5180},
  doi = {10.2298/fil2210321a},
  url = {https://akademik.atauni.edu.tr/yayinlar/57446-approximating-functions-in-the-power-type-weighted-variable-exponent-sobolev}
}