On two classes of approximation processes of integral type

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Küçük Resim

Tarih

2017

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The paper aims to study two classes of linear positive operators representing modifications of Picard and Gauss operators. The new operators reproduce both constants and a given exponential function. Approximation properties in polynomial weighted spaces are investigated and the speed of convergence is measured using a certain weighted modulus of smoothness. Also, the asymptotic behavior of the integral operators are established. Finally, aspects on generalized convexity are analyzed.

Açıklama

Agratini, Octavian/0000-0002-2406-4274; Deniz, Emre/0000-0003-0546-4229

Anahtar Kelimeler

Linear positive operator, Picard operator, Gauss operator, Weighted space, Voronovskaja formula

Kaynak

Positivity

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

21

Sayı

3

Künye

closedAccess