On the order of weighted approximation of unbounded functions by some generalizations of Gadjiev-Ibragimov operators

• Autorzy: Ghorbanalizadeh, A. M.
• Języki publikacji: EN

Abstrakty

EN

The generalization of Gadjiev–Ibragimov operators by means of Kantorovich and Kirov–Popova is considered and the order of weighted approximation of unbounded functions are obtained.

Słowa kluczowe

PL

moduł ciągłości; operatory Gadjieva-Ibragimowa; dodatnie operatory liniowe

EN

weighted modulus of continuity; Gadjiev-Ibragimov operators; weighted space; linear positive operators

• Czasopismo: Journal of Applied Analysis
• Rocznik: 2014
• Tom: Vol. 20, nr 1
• Strony: 87--92
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Ghorbanalizadeh, A. M.

• Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran,

Bibliografia

• [1] N.I. Ahiezer, Lectures in the Theory of Approximation, 2nd rev. enlarged ed., lzdat. Nauka, Moscow, 1965.
• [2] A. Arai, Approximation by Ibragimov-Gadjiev operators in polynomial weighted space, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb. 19 (2003), 35-44.
• [3] T. Coskun, On the order of weighted approximation by positive linear operators, Turkish f. Math. 35 (2011), 1-9.
• [4] O. Doǧru, On a certain family of linear positive operators, Turkish J. Math. 21 (1997), 387-399.
• [5] A. D. Gadjiev and N. Ispir, On a sequence of linear positive operators in weighted spaces, Proc. Inst. Math. Mech. Acad. Sci. Azerb. 11 (1999), 45-56.
• [6] I. I. Ibragimov and A. D. Gadziev, A certain sequence of positive linear operators, Dokl. Akad. Nauk SSSR 193 (1970), 1222-1225.
• [7] N. Ispir, A. Arai and O. Doǧru, On Kantorovich process of a sequence of the generalized linear positive operators, Numer. Funct. Anal. Optim. 29 (2008), 574-589.
• [8] G. Kirov and L. Popova, A generalization of the linear positive operators, Math. Balkanica (N.S.) 7 (1993), 149-162.
• [9] P. Radatz and B. Wood, Approximating derivatives of functions unbounded on the positive axis with linear operators, Rev. Roumaine Math. Pures Appl. 23 (1978), 771-781.
• [10] I. M. Sobol, Multidimensional Quadrature Formulae and Haar Functions, lzdat. Nauka, Moscow, 1969.

Identyfikatory

DOI

10.1515/jaa-2014-0008