Uniform Boundedness of Kantorovich Operators in Variable Exponent Lebesgue Spaces

AYAZOĞLU, RABİL; Akbulut, Sezgin; AKKOYUNLU, EBUBEKİR

doi:10.2298/fil1918755a

Makale Tam Makale Uluslararası 2019

Uniform Boundedness of Kantorovich Operators in Variable Exponent Lebesgue Spaces

RABİL AYAZOĞLU, Sezgin Akbulut, EBUBEKİR AKKOYUNLU

FILOMAT Cilt 33 · Sayı 18 · ss. 5755–5765 · 01.01.2019

DOI ile aç

Özet

In this paper, the Kantorovich operators K-n, n is an element of N are shown to be uniformly bounded in variable exponent Lebesgue spaces on the closed interval [0, 1]. Also an upper estimate is obtained for the difference K-n(f) - f for functions f of regularity of order 1 and 2 measured in variable exponent Lebesgue spaces, which is of interest on its own and can be applied to other problems related to the Kantorovich operators.

Atıf için künye

AYAZOĞLU, R., Akbulut, S., & AKKOYUNLU, E. (2019). Uniform Boundedness of Kantorovich Operators in Variable Exponent Lebesgue Spaces. FILOMAT, 33(18), 5755–5765. https://doi.org/10.2298/fil1918755a

BibTeX

@article{ayazoglu2019-73304,
  author = {AYAZOĞLU, RABİL and Akbulut, Sezgin and AKKOYUNLU, EBUBEKİR},
  title = {Uniform Boundedness of Kantorovich Operators in Variable Exponent Lebesgue Spaces},
  journal = {FILOMAT},
  year = {2019},
  volume = {33},
  number = {18},
  pages = {5755--5765},
  issn = {0354-5180},
  doi = {10.2298/fil1918755a},
  url = {https://akademik.atauni.edu.tr/yayinlar/73304-uniform-boundedness-of-kantorovich-operators-in-variable-exponent-lebesgue}
}