TY  - JOUR
T1  - ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE nTH DERIVATIVES ARE (mü 1; mü 2)- STRONGLY CONVEX
AU  - Kılınç Yıldırım, Seda
AU  - Yıldırım, Hüseyin
PY  - 2021
DA  - July
Y2  - 2021
DO  - 10.33773/jum.945748
JF  - Journal of Universal Mathematics
JO  - JUM
PB  - Gökhan ÇUVALCIOĞLU
WT  - DergiPark
SN  - 2618-5660
SP  - 230
EP  - 240
VL  - 4
IS  - 2
LA  - en
AB  - The aim of this paper, is to establish some new inequalities ofHermite-Hadamard type by using (mü 1; mü 2)-strongly convex function via whosenth derivatives in absolute value at certain powers. Moreover, we also considertheir relevances for other related known results.
KW  - hermite- hadamard inequality
KW  - strongly convex functions
KW  - Riemann-Liouville fractional integrals
CR  - S. Abbaszadeh, and A. Ebadian (2018). Nonlinear integrals and Hadamard-type inequalities,
Soft Computing, 22 (9) (2018), 2843-2849.
CR  - 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.
CR  - 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.
CR  - 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.
CR  - M. U. Awan, M. A. Noor, K. I. Noor and F. Safdar, On strongly generalized convex functions,
Filomat 31(18) (2017) 5783-5790.
UR  - https://doi.org/10.33773/jum.945748
L1  - https://dergipark.org.tr/en/download/article-file/1798367
ER  -