Some integral inequalities for logarithmically convex functions

On (β, α) - Logarithmically Convex Functions in the First and Second Sense with Their Inequalities

“…If f is a positive concave function, then the inequalities are reversed. For some results which generalize, improve and extend the inequality (2) see [2,3,6,8,9,10,11,12,14] and the references therein.…”

Generalized geometrically convex functions and inequalities

“…The convex sets and convex functions have been extended and generalized in different directions using innovative ideas to study different problems in a general and unified frame work; see [15–21]. One of the most recent significant generalizations of convex functions is the φ -convex function, introduced by Gordji et al [22].…”

Integral inequalities via generalized convex functions

“…It is well-known that a function is convex, if and only if it satisfies Hermite-Hadamard inequality. Such type of integral inequalities are useful in finding the upper and lower bounds, see [4,5,8,14,15,21,23].…”