Quantum Integral Inequalities Via Different Variants of Parameterized Harmonically Convex Functions on Finite Intervals With Related Applications
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DOI: 10.1002/mma.10792
Abstract: This work introduces a new concept, k$$ k $$ ‐harmonically γ$$ \gamma $$ ‐convex function, which covers some important variants of harmonically convex functions previously presented in the literature. We have established well‐known Hermite‐Hadamard–type integral… read more here.
Keywords: finite intervals; harmonically convex; quantum integral; integral inequalities ... See more keywords
FRACTAL INTEGRAL INEQUALITIES FOR GENERALIZED HARMONICALLY CONVEX FUNCTIONS USING LOCAL FRACTIONAL INTEGRALS AND RAINA’S MAPPING WITH RELATED APPLICATIONS
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DOI: 10.1142/s0218348x25401504
Abstract: Fractional calculus has proved its worth in engineering and as well as in medicine, analyzing papilloma-virus infection, typhoid fever, myelogenous leukemia, monkeypox, dengue infection, hand–foot–mouth disease, zika virus, and lymphatic filariasis infection. Fractal sets famous… read more here.
Keywords: harmonically convex; fractal integral; see text; raina mapping ... See more keywords
Novel extensions of k-harmonically convex functions and their applications in information science
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DOI: 10.1371/journal.pone.0320192
Abstract: Convex analysis theory has found extensive applications in optimization, information science, and economics, leading to numerous generalizations of convex functions. However, a drawback in the vast literature on convex functions is that only a limited… read more here.
Keywords: information; harmonically convex; information science; applications information ... See more keywords
Properties of harmonically-h-convex functions related to the Hermite-Hadamard-Fejér type inequalities
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DOI: 10.2298/fil2418311l
Abstract: The Hermite-Hadamard-Fej?r inequalities for a harmonically-h-convex function are explored in this study, and the findings for specific classes of functions are highlighted. Several generalizations of the Hermite-Hadamard inequalities are also discussed. Some properties of functions… read more here.
Keywords: fej type; harmonically convex; hadamard fej; type inequalities ... See more keywords
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