Convergence and almost convergence of certain sequences of positive linear operators
B. Wood (1970)
Studia Mathematica
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B. Wood (1970)
Studia Mathematica
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Vijay Gupta (1995)
Publicacions Matemàtiques
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In the present paper, we prove a global direct theorem for the modified Baskakov type operators in terms of so called Ditzian-Totik modulus of smoothness.
Michele Campiti (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Joshi, C.M. (1971)
Portugaliae mathematica
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L. Carlitz (1973)
Collectanea Mathematica
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J. P. Singhal (1967)
Rendiconti del Seminario Matematico della Università di Padova
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L. Carlitz (1972)
Collectanea Mathematica
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Bibhiti Bhusan Saha (1979)
Revista Matemática Hispanoamericana
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S. K. Chatterjea has recently proved a class of generating relations involving ultraspherical polynomials from the view point of continuous transformations-groups. The object of the present paper is to point out that this class of generating relations implies the explicit representation, the addition and the multiplication formulas, in addition to the usual generating relation for the ultraspherical polynomials.