Some New Beesack–Wirtinger-Type Inequalities Pertaining to Different Kinds of Convex Functions

Artion Kashuri, Muhammad Samraiz, Gauhar Rahman and Zareen A. Khan
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Artion Kashuri: Department of Mathematics, Faculty of Technical and Natural Science, University “Ismail Qemali”, 9400 Vlora, Albania
Muhammad Samraiz: Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
Gauhar Rahman: Department of Mathematics and Statistics, Hazara University, Mansehra 21300, Pakistan
Zareen A. Khan: Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

Mathematics, 2022, vol. 10, issue 5, 1-20

Abstract: In this paper, the authors established several new inequalities of the Beesack–Wirtinger type for different kinds of differentiable convex functions. Furthermore, we generalized our results for functions that are n -times differentiable convex. Finally, many interesting Ostrowski- and Chebyshev-type inequalities are given as well.

Keywords: Wirtinger inequality; Beesack inequality; Chebyshev inequality; Ostrowski inequality; Hölder inequality; convexity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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