Abstract
In this manuscript, we introduce and study the concept of exponential trigonometric convex functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is exponential trigonometric convex function. It has been shown that the result obtained with Hölder-İşcan and improved power-mean integral inequalities give better approximations than that obtained with Hölder and improved power-mean integral inequalities.
M. Jleli is supported by the Researchers Supporting Project RSP-2020/57, King Saud University, Riyadh, Saudi Arabia.
Acknowledgement
M. Jleli is supported by the Researchers Supporting Project RSP-2020/57, King Saud University, Riyadh, Saudi Arabia.
(Communicated by Tomasz Natkaniec)
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