Abstract
Starting from a discrete linear approximation process that has the ability to turn polynomials into polynomials of the same degree, we introduce an integral generalization by using Beta-type bases.
Some properties of this new sequence of operators are investigated in unweighted and weighted spaces of functions defined on unbounded interval. In our construction particular cases are outlined.
Authors
Octavian Agratini
Babeş-Bolyai University, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania
Keywords
References
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Paper coordinates
O. Agratini, Linear positive operators constructed by using Beta-type bases, Hacettepe Journal of Mathematics & Statistics, 49 (2020) no. 3, pp. 1030-1038, doi: 10.15672/hujms.549015
About this paper
Journal
Hacettepe Journal of Mathematics & Statistics
Publisher Name
Hacettepe Üniversitesi
Print ISSN
2651-477X
Online ISSN
2651-477X
Google Scholar Profile
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