Research Article

The sharper form of a Brunn-Minkowski type inequality for boxes

Volume: 50 Number: 2 April 11, 2021
EN

The sharper form of a Brunn-Minkowski type inequality for boxes

Abstract

In this study, the Brunn-Minkowski inequality for boxes is studied and a sharper version of this inequality is derived by performing the results based on abstract convexity.

Keywords

References

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  3. [3] G.R. Adilov and G. Tınaztepe, The Sharpening Some Inequalities via Abstract Convexity, Math. Inequal. Appl. 12, 33–51, 2012.
  4. [4] Y.D. Burago and V.A. Zalgaller, Geometric Inequalities, Springer, 1988.
  5. [5] J.P. Crouzeix, J.E. M. Legaz and M. Volle, Generalized Convexity, Generalized Monotonicity: Recent Results, Kluwer Academic Publishers, 1998.
  6. [6] S.S. Dragomir, J. Dutta and A.M. Rubinov, Hermite-Hadamard Type Inequalities For Increasing Convex Along Rays Functions, Analysis (Munich) 2, 171–181, 2001.
  7. [7] S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite–Hadamard Inequalities and Applications, Victoria University, Footscray, Australia, 2000.
  8. [8] S. Jain, K. Mehrez, D. Baleanu and P. Agarwal, Certain Hermite–Hadamard Inequalities for Logarithmically Convex Functions with Applications, Mathematics 7, 163–175, 2019.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

April 11, 2021

Submission Date

December 11, 2019

Acceptance Date

July 1, 2020

Published in Issue

Year 2021 Volume: 50 Number: 2

APA
Tınaztepe, G., Kemali, S., Sezer, S., & Eken, Z. (2021). The sharper form of a Brunn-Minkowski type inequality for boxes. Hacettepe Journal of Mathematics and Statistics, 50(2), 377-386. https://doi.org/10.15672/hujms.657839
AMA
1.Tınaztepe G, Kemali S, Sezer S, Eken Z. The sharper form of a Brunn-Minkowski type inequality for boxes. Hacettepe Journal of Mathematics and Statistics. 2021;50(2):377-386. doi:10.15672/hujms.657839
Chicago
Tınaztepe, Gültekin, Serap Kemali, Sevda Sezer, and Zeynep Eken. 2021. “The Sharper Form of a Brunn-Minkowski Type Inequality for Boxes”. Hacettepe Journal of Mathematics and Statistics 50 (2): 377-86. https://doi.org/10.15672/hujms.657839.
EndNote
Tınaztepe G, Kemali S, Sezer S, Eken Z (April 1, 2021) The sharper form of a Brunn-Minkowski type inequality for boxes. Hacettepe Journal of Mathematics and Statistics 50 2 377–386.
IEEE
[1]G. Tınaztepe, S. Kemali, S. Sezer, and Z. Eken, “The sharper form of a Brunn-Minkowski type inequality for boxes”, Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 2, pp. 377–386, Apr. 2021, doi: 10.15672/hujms.657839.
ISNAD
Tınaztepe, Gültekin - Kemali, Serap - Sezer, Sevda - Eken, Zeynep. “The Sharper Form of a Brunn-Minkowski Type Inequality for Boxes”. Hacettepe Journal of Mathematics and Statistics 50/2 (April 1, 2021): 377-386. https://doi.org/10.15672/hujms.657839.
JAMA
1.Tınaztepe G, Kemali S, Sezer S, Eken Z. The sharper form of a Brunn-Minkowski type inequality for boxes. Hacettepe Journal of Mathematics and Statistics. 2021;50:377–386.
MLA
Tınaztepe, Gültekin, et al. “The Sharper Form of a Brunn-Minkowski Type Inequality for Boxes”. Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 2, Apr. 2021, pp. 377-86, doi:10.15672/hujms.657839.
Vancouver
1.Gültekin Tınaztepe, Serap Kemali, Sevda Sezer, Zeynep Eken. The sharper form of a Brunn-Minkowski type inequality for boxes. Hacettepe Journal of Mathematics and Statistics. 2021 Apr. 1;50(2):377-86. doi:10.15672/hujms.657839

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