Abstract
In this paper we introduce linear approximation operators by using a scaling type function and a general bi-dimensional net. By using the first modulus of smoothness we establish Jackson type inequalities. For a new class of general integral type operators sufficient conditions are given both for shift invariance and for preservation of the global smoothness. Under additonal assumptions, our sequence becomes an approximation process. Also, some examples are provided and the particular case of Holder continuous functions is considered.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
linear positive operator; modulus of smoothness, Jackosn-type inequalities; approximation process.
Paper coordinates
O. Agratini, Operators generated by a quasi-scaling type function, Revista de la Union Matematica Argentina, 44 (2003) no. 2, pp. 21-30.
About this paper
Journal
Revista de la Union Matematica Argentina
Publisher Name
Union Matematica Argentina
DOI
Print ISSN
1669-9637
Online ISSN
0041-6932
google scholar link
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