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

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. © 2019, The Author(s).

Authors
Adeel M.1 , Khan K.A.1 , Pečarić Ð.2 , Pečarić J. 3
Journal
Advances in Difference Equations
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.1186/s13662-019-2360-5
Number
430
Volume
2019
Year
2019
Organizations
  • 1 Department of Mathematics, University of Sargodha, Sargodha, Pakistan
  • 2 Catholic University of Croatia, Zagreb, Croatia
  • 3 RUDN University, Moscow, Russian Federation
Keywords
Green functions; Levinson’s inequality; m-convex function
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/54817/
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