Kantorovich Variant of Jain-Pethe Operators

Abstract

In the present paper we establish a link between the Jain-Pethe operators and its Kantorovich type integral modification, by applying the methods of finite differences. We also consider a modification of the Kantorovich variant, preserving affine functions and establish some direct results in weighted spaces.

Keywords:

• Affine function
• backward difference operator
• finite differences
• Jain-Pethe operators
• Moment generating function

MATHEMATICS SUBJECT CLASSIFICATION (2010):

• 41A25
• 41A30

Conflict of interest

The authors declare that they have no conflict of interest.