Research Article

ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE nTH DERIVATIVES ARE (mü 1; mü 2)- STRONGLY CONVEX

Volume: 4 Number: 2 July 31, 2021
EN

ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE nTH DERIVATIVES ARE (mü 1; mü 2)- STRONGLY CONVEX

Abstract

The aim of this paper, is to establish some new inequalities of Hermite-Hadamard type by using (mü 1; mü 2)-strongly convex function via whose nth derivatives in absolute value at certain powers. Moreover, we also consider their relevances for other related known results.

Keywords

References

  1. S. Abbaszadeh, and A. Ebadian (2018). Nonlinear integrals and Hadamard-type inequalities, Soft Computing, 22 (9) (2018), 2843-2849.
  2. M. Alomari and M. Darus, On the Hadamard's inequality for log-convex functions on the coordinates, J. Ineq. Appl. 2009 (2009), Article ID 283147, 13 pp.
  3. M. Alomari, M. Darus and S. S. Dragomir, New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex, Tamkang. J. Math. 41(4) (2010) 353-359.
  4. M. Alomari, M. Darus and U.S. Kirmaci, Requnements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means, Comp. Math. Appl. 59 (2010) 225-232.
  5. M. U. Awan, M. A. Noor, K. I. Noor and F. Safdar, On strongly generalized convex functions, Filomat 31(18) (2017) 5783-5790.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

July 31, 2021

Submission Date

June 15, 2021

Acceptance Date

July 29, 2021

Published in Issue

Year 2021 Volume: 4 Number: 2

APA
Kılınç Yıldırım, S., & Yıldırım, H. (2021). ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE nTH DERIVATIVES ARE (mü 1; mü 2)- STRONGLY CONVEX. Journal of Universal Mathematics, 4(2), 230-240. https://doi.org/10.33773/jum.945748
AMA
1.Kılınç Yıldırım S, Yıldırım H. ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE nTH DERIVATIVES ARE (mü 1; mü 2)- STRONGLY CONVEX. JUM. 2021;4(2):230-240. doi:10.33773/jum.945748
Chicago
Kılınç Yıldırım, Seda, and Hüseyin Yıldırım. 2021. “ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE NTH DERIVATIVES ARE (mü 1; Mü 2)- STRONGLY CONVEX”. Journal of Universal Mathematics 4 (2): 230-40. https://doi.org/10.33773/jum.945748.
EndNote
Kılınç Yıldırım S, Yıldırım H (July 1, 2021) ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE nTH DERIVATIVES ARE (mü 1; mü 2)- STRONGLY CONVEX. Journal of Universal Mathematics 4 2 230–240.
IEEE
[1]S. Kılınç Yıldırım and H. Yıldırım, “ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE nTH DERIVATIVES ARE (mü 1; mü 2)- STRONGLY CONVEX”, JUM, vol. 4, no. 2, pp. 230–240, July 2021, doi: 10.33773/jum.945748.
ISNAD
Kılınç Yıldırım, Seda - Yıldırım, Hüseyin. “ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE NTH DERIVATIVES ARE (mü 1; Mü 2)- STRONGLY CONVEX”. Journal of Universal Mathematics 4/2 (July 1, 2021): 230-240. https://doi.org/10.33773/jum.945748.
JAMA
1.Kılınç Yıldırım S, Yıldırım H. ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE nTH DERIVATIVES ARE (mü 1; mü 2)- STRONGLY CONVEX. JUM. 2021;4:230–240.
MLA
Kılınç Yıldırım, Seda, and Hüseyin Yıldırım. “ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE NTH DERIVATIVES ARE (mü 1; Mü 2)- STRONGLY CONVEX”. Journal of Universal Mathematics, vol. 4, no. 2, July 2021, pp. 230-4, doi:10.33773/jum.945748.
Vancouver
1.Seda Kılınç Yıldırım, Hüseyin Yıldırım. ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE nTH DERIVATIVES ARE (mü 1; mü 2)- STRONGLY CONVEX. JUM. 2021 Jul. 1;4(2):230-4. doi:10.33773/jum.945748