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

Öz

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.

Anahtar Kelimeler

• hermite- hadamard inequality
• strongly convex functions
• Riemann-Liouville fractional integrals

Kaynakça

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.