NDLI: On a Generalization of Szász–Mirakjan–Kantorovich Operators

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On a Generalization of Szász–Mirakjan–Kantorovich Operators

Content Provider	Springer Nature Link
Author	Leonessa, Vita Altomare, Francesco Cappelletti Monta, Mirella
Copyright Year	2012
Abstract	In this paper we introduce and study a sequence of positive linear operators acting on suitable spaces of measurable functions on [0,+∞[, including L p ([0,+∞[) spaces, 1 ≤ p < +∞, as well as continuous function spaces with polynomial weights. These operators generalize the Szász–Mirakjan–Kantorovich operators and they allow to approximate (or to reconstruct) suitable measurable functions by knowing their mean values on a sequence of subintervals of [0,+∞[ that do not constitute a subdivision of it. We also give some estimates of the rates of convergence by means of suitable moduli of smoothness.
Ending Page	863
Page Count	27
Starting Page	837
File Format	PDF
ISSN	14226383
e-ISSN	14209012
Journal	Results in Mathematics
Issue Number	3
Volume Number	63
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2012-02-28
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	weighted space positive approximation process Approximation by polynomials Approximation by positive operators Mathematics Szász–Mirakjan–Kantorovich operator modulus of smoothness Rate of convergence, degree of approximation
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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