On the generalized Mellin integral operators
[ X ]
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
De Gruyter Poland Sp Z O O
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we give a modification of Mellin convolution-type operators. In this way, we obtain the rate of convergence with the modulus of the continuity of the m m th-order Mellin derivative of function f f , but without the derivative of the operator. Then, we express the Taylor formula including Mellin derivatives with integral remainder. Later, a Voronovskaya-type theorem is proved. In the last part, we state order of approximation of the modified operators, and the obtained results are restated for the Mellin-Gauss-Weierstrass operator.
Açıklama
Anahtar Kelimeler
convolution operators; Mellin derivatives; logarithmic modulus of continuity; Mellin-Gauss-Weierstrass operator
Kaynak
Demonstratio Mathematica
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
57
Sayı
1
