Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Approximation Properties of Complex Modified Genuine Szász–Durrmeyer Operators

Approximation Properties of Complex Modified Genuine Szász–Durrmeyer Operators In this study, to approximate integrable functions, we introduce complex modified genuine Szász–Durrmeyer operators and investigate the approximation properties of these operators. We obtain a Voronovskaja-type result with a quantitative estimate for complex modified genuine Szász–Durrmeyer operators attached to analytic functions having suitable exponential growth on compact disks. Also, we obtain the exact order of approximation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Approximation Properties of Complex Modified Genuine Szász–Durrmeyer Operators

Loading next page...
 
/lp/springer-journals/approximation-properties-of-complex-modified-genuine-sz-sz-durrmeyer-YeCh3yabGC

References (14)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-014-0067-x
Publisher site
See Article on Publisher Site

Abstract

In this study, to approximate integrable functions, we introduce complex modified genuine Szász–Durrmeyer operators and investigate the approximation properties of these operators. We obtain a Voronovskaja-type result with a quantitative estimate for complex modified genuine Szász–Durrmeyer operators attached to analytic functions having suitable exponential growth on compact disks. Also, we obtain the exact order of approximation.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Apr 4, 2014

There are no references for this article.