Local and global results for modified Szász–Mirakjan operators. (27th September 2016)

• Record Type: Journal Article
• Authors: Gandhi, R.B.; Mishra, Vishnu Narayan
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 7(2017)
• Page Start: 2491
• Page End: 2504
• Publication Date: 2016-09-27
• Subjects: Szász–Mirakjan operators -- the Korovkin‐type approximation result -- K‐functional -- modulus of smoothness -- Voronovskaja‐type result -- polynomial weight spaces -- direct and inverse results; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4171
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we study a natural modification of Szász–Mirakjan operators. It is shown by discussing many important established results for Szász–Mirakjan operators. The results do hold for this modification as well, be they local in nature or global, be they qualitative or quantitative. It is also shown that this generalization is meaningful by means of examples and graphical representations. Copyright © 2016 John Wiley & Sons, Ltd.