Author:
Kadakal Mahir,İşcan İmdat
Abstract
AbstractIn this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the H-H inequality for functions whose first derivative in absolute value at certain power is exponential type convex.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference15 articles.
1. Bombardelli, M., Varošanec, S.: Properties of h-convex functions related to the Hermite–Hadamard–Fejér inequalities. Comput. Math. Appl. 58, 1869–1877 (2009)
2. Dragomir, S.S., Agarwal, R.P.: Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula. Appl. Math. Lett. 11, 91–95 (1998)
3. RGMIA Monograph;S.S. Dragomir,2002
4. Dragomir, S.S., Pečarić, J., Persson, L.E.: Some inequalities of Hadamard type. Soochow J. Math. 21(3), 335–341 (2001)
5. Guessab, A., Schmeisser, G.: Sharp integral inequalities of the Hermite–Hadamard type. J. Approx. Theory 115(2), 260–288 (2002)
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