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   Articles with "mercer" as a keyword



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A Note on Generalized Mercer’s Inequality

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recommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"

DOI: 10.1007/s40840-017-0449-0

Abstract: We give an integral version and a refinement of M. Niezgoda’s extension of the variant of Jensen’s inequality given by A. McD. Mercer. read more here.

Keywords: mercer; mercer inequality; generalized mercer; inequality ... See more keywords

Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities

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recommendations! Published in 2024 at "Journal of Function Spaces"

DOI: 10.1155/2024/6691058

Abstract: This article’s objective is to introduce a new double inequality based on the Jensen–Mercer (JM) inequality, known as the Hermite–Hadamard–Mercer inequality. We use the (JM) inequality to build a number of generalized trapezoid‐type inequalities. Moreover,… read more here.

Keywords: mercer; inequality; hermite hadamard; jensen mercer ... See more keywords

New estimates on generalized Hermite–Hadamard–Mercer-type inequalities

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recommendations! Published in 2025 at "Boundary Value Problems"

DOI: 10.1186/s13661-025-02012-y

Abstract: The concept of a convex function plays a crucial role in fields of mathematical analysis and inequality theory. The importance of convex functions is exemplified by Mercer’s inequality. This inequality, which is derived through the… read more here.

Keywords: mercer; inequality; generalized hermite; hermite hadamard ... See more keywords

Some New Jensen–Mercer Type Integral Inequalities via Fractional Operators

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recommendations! Published in 2023 at "Axioms"

DOI: 10.3390/axioms12060517

Abstract: In this study, we present new variants of the Hermite–Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex. Our main… read more here.

Keywords: integral inequalities; mercer; new jensen; mercer type ... See more keywords

New Quantum Mercer Estimates of Simpson-Newton-like Inequalities via Convexity

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14091935

Abstract: Recently, developments and extensions of quadrature inequalities in quantum calculus have been extensively studied. As a result, several quantum extensions of Simpson’s and Newton’s estimates are examined in order to explore different directions in quantum… read more here.

Keywords: simpson newton; mercer; new quantum; like inequalities ... See more keywords