Exponential trigonometric convex functions and Hermite-Hadamard type inequalities
Kadakal M. Işcan I. Agarwal P. Jleli M.
1 February 2021De Gruyter Open Ltd
Mathematica Slovaca
2021#71Issue 143 - 56 pp.
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-Işcan and improved power-mean integral inequalities give better approximations than that obtained with Hölder and improved power-mean integral inequalities.
Convex function , Exponential trigonometric convex functions , Hermite-Hadamard inequality , Hölder-Işcan inequality , Improved power-mean inequality , Trigonometric convex function
Text of the article Перейти на текст статьи
Departments of Mathematics Sciences and Arts, Faculty Giresun University, Giresun, 28200, Turkey
Department of Mathematics, Anand International College of Engineering, Jaipur, Rajasthan, 303012, India
Department of Mathematics, Harish-Chandra Research Institute, Allahabad, 211 019, India
International Center for Basic and Applied Sciences, Jaipur, 302029, India
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
Departments of Mathematics Sciences and Arts
Department of Mathematics
Department of Mathematics
International Center for Basic and Applied Sciences
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026