2019
DOI: 10.3390/math7100956
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Hermite-Hadamard Type Inequalities for the Class of Convex Functions on Time Scale

Abstract: We investigate a time scale version of two auxiliary functions for the class of convex functions. We derive several novel dynamic inequalities for these classes of convex functions. Applications of these consequences are taken into consideration in special means. Furthermore, illustrative examples are introduced to help our outcomes. Meanwhile, we communicate a few particular cases which may be deduced from our main outcomes.

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Cited by 63 publications
(30 citation statements)
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“…Let en, the classical Hermite-Hadamard inequality [73][74][75][76][77] states that the double inequality…”
Section: Introductionmentioning
confidence: 99%
“…Let en, the classical Hermite-Hadamard inequality [73][74][75][76][77] states that the double inequality…”
Section: Introductionmentioning
confidence: 99%
“…Fractional integral inequalities are an appropriate device for enhancing the qualitative and quantitative properties of differential equations. There has been a continuous growth of interest in several areas of science: mathematics, physics, engineering, amongst others, and particularly, initial value problems, linear transformation stability, integral-differential equations, and impulse equations [23][24][25][26][27][28][29][30].…”
Section: Introductionmentioning
confidence: 99%
“…Many classical and analytical inequalities, especially Hadamard's inequality, Jensen's inequality, and Steffensen's inequality, have been achieved with the help of this concept. Detailed information and effectiveness of this function class can be found in [1][2][3][4][5][6].…”
Section: Introductionmentioning
confidence: 99%