Research Article

Hardy Type Inequalities for Convex Functions

Volume: 11 Number: 2 October 31, 2023
EN

Hardy Type Inequalities for Convex Functions

Abstract

In this article, we aim to extend the scope of Hardy type inequalities by exploring their applicability to convex functions. We present various types of new Hardy integral inequalities for convex functions, which can be applied in diverse scenarios. Additionally, we provide several practical applications of these inequalities.

Keywords

References

  1. [1] B. Benaissa, M.Z. Sarikaya, A. Senouci On some new Hardy-type inequalities, Math. Meth. Appl .Sci., 43, 8488-8495 (2020).
  2. [2] B. Benaissa, M.Z. Sarikaya, Some Hardy-type integral inequalities involving functions of two independent variables, Positivity, 25, 853-866 (2021).
  3. [3] G. H. Hardy, Note on a theorem of Hilbert, Math. Z. 6 (1920), 314–317.
  4. [4] G. H. Hardy, Notes on some points in the integral calculus, LX. An inequality between integrals, Messenger of Math. 54, (1925), 150-156.
  5. [5] G. H. Hardy, Notes on some points in the integral calculus, LXIV. Further inequalities between integrals. Messenger of Math. 57 (1928), 12–16.
  6. [6] M. Izumi, S. Izumi and G. Peterson, On Hardy’s Inequality and its Generalization, Tohoku Math .J. ; 21, (1999), 601-613.
  7. [7] A. Kufner, L. Maligranda and L.E. Persson, The Hardy Inequality- About its History and Some Related Results, Vydavatelsky Servis Publishing House, Pilsen, 2007.
  8. [8] A. Kufner and L.E. Persson,Weighted Inequalities of Hardy Type, World Scientific Publishing Co., Singapore, 2003.

Details

Primary Language

English

Subjects

Mathematical Methods and Special Functions

Journal Section

Research Article

Authors

Publication Date

October 31, 2023

Submission Date

September 26, 2023

Acceptance Date

October 21, 2023

Published in Issue

Year 2023 Volume: 11 Number: 2

APA
Sarıkaya, M. Z. (2023). Hardy Type Inequalities for Convex Functions. Konuralp Journal of Mathematics, 11(2), 127-130. https://izlik.org/JA99DW82SA
AMA
1.Sarıkaya MZ. Hardy Type Inequalities for Convex Functions. Konuralp J. Math. 2023;11(2):127-130. https://izlik.org/JA99DW82SA
Chicago
Sarıkaya, Mehmet Zeki. 2023. “Hardy Type Inequalities for Convex Functions”. Konuralp Journal of Mathematics 11 (2): 127-30. https://izlik.org/JA99DW82SA.
EndNote
Sarıkaya MZ (October 1, 2023) Hardy Type Inequalities for Convex Functions. Konuralp Journal of Mathematics 11 2 127–130.
IEEE
[1]M. Z. Sarıkaya, “Hardy Type Inequalities for Convex Functions”, Konuralp J. Math., vol. 11, no. 2, pp. 127–130, Oct. 2023, [Online]. Available: https://izlik.org/JA99DW82SA
ISNAD
Sarıkaya, Mehmet Zeki. “Hardy Type Inequalities for Convex Functions”. Konuralp Journal of Mathematics 11/2 (October 1, 2023): 127-130. https://izlik.org/JA99DW82SA.
JAMA
1.Sarıkaya MZ. Hardy Type Inequalities for Convex Functions. Konuralp J. Math. 2023;11:127–130.
MLA
Sarıkaya, Mehmet Zeki. “Hardy Type Inequalities for Convex Functions”. Konuralp Journal of Mathematics, vol. 11, no. 2, Oct. 2023, pp. 127-30, https://izlik.org/JA99DW82SA.
Vancouver
1.Mehmet Zeki Sarıkaya. Hardy Type Inequalities for Convex Functions. Konuralp J. Math. [Internet]. 2023 Oct. 1;11(2):127-30. Available from: https://izlik.org/JA99DW82SA
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