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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Artion Kashuri & Muhammad Samraiz & Gauhar Rahman & Zareen A. Khan, 2022. "Some New Beesack–Wirtinger-Type Inequalities Pertaining to Different Kinds of Convex Functions," Mathematics, MDPI, vol. 10(5), pages 1-20, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:757-:d:759873
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    References listed on IDEAS

    as
    1. Set, Erhan & Kashuri, Artion & Mumcu, İlker, 2021. "Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya–Szegö inequality with applications," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Ahmet Ocak Akdemir & Saad Ihsan Butt & Muhammad Nadeem & Maria Alessandra Ragusa, 2021. "New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators," Mathematics, MDPI, vol. 9(2), pages 1-10, January.
    3. Dumitru Baleanu & Arran Fernandez, 2019. "On Fractional Operators and Their Classifications," Mathematics, MDPI, vol. 7(9), pages 1-10, September.
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