Approximation by trigonometric polynomials in variable exponent Morrey spaces
    
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Rudn University, Rusya Federasyonu
Arash Ghorbanalizadeh
Institute For Advanced Studies İn Basic Sciences, Zanjan, İran
Yoshihiro Sawano
Rudn University, Rusya Federasyonu
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Analysis and Mathematical Physics (Q1)
Dergi ISSN 1664-2368 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 09-2019
Cilt / Sayı / Sayfa 9 / 3 / 1265–1285 DOI 10.1007/s13324-018-0231-y
Özet
We investigate the direct and inverse theorems for trigonometric polynomials in the Morrey space Mp(·),λ(·) with variable exponents. For this space, we obtain estimates of the K-functional in terms of the modulus of smoothness and the Bernstein type inequality for trigonometric polynomials.
Anahtar Kelimeler
Bernstein inequality | Steklov operator | Trigonometric polynomial | Variable exponent Morrey spaces