On exponential type P-functions

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:70 Issue:1
On exponential type P-functions

On exponential type P-functions

Authors : Selim NUMAN, İmdat İŞCAN

Pages : 497-509

Doi:10.31801/cfsuasmas.745357

View : 21 | Download : 14

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :In this paper, we introduce and study the concept of exponential type P-function and establish Hermite-Hadamard`s inequalities for this type of functions. In addition, we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is exponential type P-function by using Hölder and power-mean integral inequalities. We also extend our initial results to functions of several variables. Next, we point out some applications of our results to give estimates for the approximation error of the integral the function in the trapezoidal formula and for some inequalities related to special means of real numbers.
Keywords : Exponential type convexity, exponential type P function, Hermite Hadamard inequality

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