On Generalization of Different Integral Inequalities for Harmonically Convex Functions
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DOI: 10.3390/sym14020302
Abstract: In this study, we first prove a parameterized integral identity involving differentiable functions. Then, for differentiable harmonically convex functions, we use this result to establish some new inequalities of a midpoint type, trapezoidal type, and… read more here.
Keywords: convex functions; integral inequalities; different integral; inequalities harmonically ... See more keywords
Some Fuzzy Inequalities for Harmonically s-Convex Fuzzy Number Valued Functions in the Second Sense Integral
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DOI: 10.3390/sym14081639
Abstract: Many fields of mathematics rely on convexity and nonconvexity, especially when studying optimization issues, where it stands out for a variety of practical aspects. Owing to the behavior of its definition, the idea of convexity… read more here.
Keywords: fuzzy number; number valued; valued functions; convexity ... See more keywords
Some Companions of Fejér-Type Inequalities for Harmonically Convex Functions
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DOI: 10.3390/sym14112268
Abstract: In this paper, we present some mappings defined over 0,1 related to the Fejér-type inequalities that have been established for harmonically convex functions. As a consequence, we obtain companions of Fejér-type inequalities for harmonically convex… read more here.
Keywords: fej type; type inequalities; companions fej; inequalities harmonically ... See more keywords