Results 11 to 20 of about 813,164 (110)
Some New Jensen–Mercer Type Integral Inequalities via Fractional Operators [PDF]
Axioms, 2023 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 ...
Bahtiyar Bayraktar +2 more
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Fractal and FractionalThis paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali +3 more
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Generalized Jensen-Mercer Inequality for Functions with Nondecreasing Increments
Abstract and Applied Analysis, 2016 In the year 2003, McD Mercer established an interesting variation of Jensen’s inequality and later in 2009 Mercer’s result was generalized to higher dimensions by M. Niezgoda. Recently, Asif et al.
Asif R. Khan, Sumayyah Saadi
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Integral Jensen–Mercer and Related Inequalities for Signed Measures with Refinements
MathematicsIn this paper, we give necessary and sufficient conditions for the integral Jensen–Mercer inequality and closely related inequalities to be satisfied for finite signed measures.
László Horváth
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Some generalizations of Mercer inequality and its operator extensions [PDF]
Miskolc Mathematical NotesWe give a more general form of the Mercer inequality by replacing some constants by positive operators. As some consequences, our results produce a Jensen operator inequality for superquadratic functions.
Mohsen Kian, Zainab Peymani
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Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities [PDF]
Journal of Function SpacesThis 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.
Maryam Gharamah Ali Alshehri +3 more
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Journal of Mathematics, 2020 In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators ...
Qiong Kang +5 more
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New Improvements of the Jensen–Mercer Inequality for Strongly Convex Functions with Applications
AxiomsIn this paper, we use the generalized version of convex functions, known as strongly convex functions, to derive improvements to the Jensen–Mercer inequality. We achieve these improvements through the newly discovered characterizations of strongly convex
Muhammad Adil Khan +2 more
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On quantum Hermite-Jensen-mercer inequalities [PDF]
, 2023 A. M. Mercer prove a new version of well-known Jensen inequality which is called Jensen-Mercer inequality [16]. By using Jensen-Mercer inequality, Kian and Moslehian establish a new variant of Hermite-Hadamard inequality which is called Hermite-Jensen ...
Budak, Hüseyin, Kara, Hasan
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POST-QUANTUM HERMITE–JENSEN–MERCER INEQUALITIES [PDF]
, 2023 The Jensen-Mercer inequality, which is well known in the literature, has an important place in mathematics and related disciplines. In this work, we obtain the Hermite-Jensen-Mercer inequality for post-quantum integrals by utilizing Jensen-Mercer ...
Hüseyin Budak +5 more
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