Inequalities on Geometrically Convex Functions
M. Emin \"Ozdemir
TL;DR
This paper derives new upper bounds for differentiable functions with geometrically convex and decreasing powers, utilizing inequalities like Hölder and power mean, advancing the understanding of such functions' behavior.
Contribution
It introduces novel upper bounds for a class of differentiable functions with geometrically convex powers, expanding existing inequality frameworks.
Findings
New upper bounds for geometrically convex functions
Application of Hölder and power mean inequalities
Enhanced understanding of function behavior
Abstract
In this paper, we obtain some new upper bounds for differantiable mappings whose q-th powers are geometrically convex and monotonically decreasing by using the H\"older inequality, Power mean inequality and properties of modulus.
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Taxonomy
TopicsMathematical Inequalities and Applications · Analytic and geometric function theory · Functional Equations Stability Results