Some new integral inequalities for higher-order strongly exponentially convex functions

被引：0
作者：
Jaya Bisht
Nidhi Sharma
Shashi Kant Mishra
Abdelouahed Hamdi
机构：
[1] Banaras Hindu University,Department of Mathematics, Institute of Science
[2] Qatar University,Mathematics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences
来源：
Journal of Inequalities and Applications | / 2023卷
关键词：
Convex functions; Exponentially convex functions; Hermite–Hadamard inequalities; Riemann–Liouville fractional integrals; 26D15; 26A51; 26A33;
D O I：
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摘要：
Integral inequalities with generalized convexity play an important role in both applied and theoretical mathematics. The theory of integral inequalities is currently one of the most rapidly developing areas of mathematics due to its wide range of applications. In this paper, we study the concept of higher-order strongly exponentially convex functions and establish a new Hermite–Hadamard inequality for the class of strongly exponentially convex functions of higher order. Further, we derive some new integral inequalities for Riemann–Liouville fractional integrals via higher-order strongly exponentially convex functions. These findings include several well-known results and newly obtained results as special cases. We believe that the results presented in this paper are novel and will be beneficial in encouraging future research in this field.
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