Approximation by trigonometric polynomials in morrey spaces

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Atıf İçin Kopyala

Cakir Z., Aykol C., Soylemez D., Şerbetçi A.

Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, cilt.39, sa.1, ss.24-37, 2019 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 39 Sayı: 1
• Basım Tarihi: 2019
• Dergi Adı: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
• Derginin Tarandığı İndeksler: Scopus
• Sayfa Sayıları: ss.24-37
• Anahtar Kelimeler: Best approximation, Modulus of smoothness, Morrey space
• Ankara Üniversitesi Adresli: Evet

Özet

© 2019, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.In this paper, we investigate the best approximation by trigonometric polynomials in Morrey space Lp,λ (I0) with 1 < p < ∞ and I0 = [0, 2π]. We prove the direct and inverse theorems of approximation by trigonometric polynomials in the spacesLp,λ (I0) the closure of C∞ (I0) in Lp,λ (I0). To prove these theorems we get the characterization of K−functionals in terms of the modulus of smoothness and give the Bernstein type inequality for trigonometric polynomials in the spaces Lp,λ (I0).