Levinson type inequalities for higher order convex functions via Abel–Gontscharoff interpolation

Levinson type inequalities for higher order convex functions via Abel–Gontscharoff interpolation

Abstract In this paper, Levinson type inequalities are studied for the class of higher order convex functions by using Abel–Gontscharoff interpolation. Cebyšev, Grüss, and Ostrowski-type new bounds are also found for the functionals involving data points of two types.

Bibliographic Details
Main Authors: Muhammad Adeel, Khuram Ali Khan, Ðilda Pečarić, Josip Pečarić
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Advances in Difference Equations
Subjects:
m-convex function
Levinson’s inequality
Green functions
Online Access:http://link.springer.com/article/10.1186/s13662-019-2360-5

Internet

http://link.springer.com/article/10.1186/s13662-019-2360-5

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