New estimates on generalized Hermite–Hadamard–Mercer-type inequalities [PDF]
Boundary Value ProblemsThe 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.
Çetin Yıldız +4 more
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Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity [PDF]
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 By using the Jensen–Mercer inequality for strongly convex functions, we present Hermite–Hadamard–Mercer inequality for strongly convex functions. Furthermore, we also present some new Hermite‐Hadamard‐Mercer‐type inequalities for differentiable functions whose derivatives in absolute value are convex.
Muhammad Adil Khan +3 more
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Harmonic conformable refinements of Hermite-Hadamard Mercer inequalities by support line and related applications [PDF]
Mathematical and Computer Modelling of Dynamical SystemsWe establish new conformable fractional Hermite-Hadamard (H–H) Mercer type inequalities for harmonically convex functions using the concept of support line.
Saad Ihsan Butt +2 more
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New Perspectives of Hermite–Hadamard–Mercer-Type Inequalities Associated with ψk-Raina’s Fractional Integrals for Differentiable Convex Functions [PDF]
Fractal and FractionalStarting from ψk-Raina’s fractional integrals (ψk-RFIs), the study obtains a new generalization of the Hermite–Hadamard–Mercer (H-H-M) inequality. Several trapezoid-type inequalities are constructed for functions whose derivatives of orders 1 and 2, in ...
Talib Hussain +2 more
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Unifications of Continuous and Discrete Fractional Inequalities of the Hermite–Hadamard–Jensen–Mercer Type via Majorization [PDF]
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The main objective of the paper is to develop an innovative idea of bringing continuous and discrete inequalities into a unified form. The desired objective is thus obtained by embedding majorization theory with the existing notion of continuous inequalities.
Shah Faisal +4 more
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Hermite–Hadamard-Mercer Type Inequalities for Interval-Valued Coordinated Convex Functions [PDF]
AxiomsDetermining the Jensen–Mercer inequality for interval-valued coordinated convex functions has been a challenging task for researchers in the fields of inequalities and interval analysis.
Muhammad Toseef +3 more
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Generalization of Hermite–Hadamard, trapezoid, and midpoint Mercer type inequalities for fractional integrals in multiplicative calculus [PDF]
Boundary Value ProblemsThis study generalizes Hermite–Hadamard–Mercer type inequalities using Riemann–Liouville fractional integrals within the framework of multiplicative calculus.
Abdul Mateen +3 more
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On New Generalized Hermite–Hadamard–Mercer-Type Inequalities for Raina Functions [PDF]
Fractal and FractionalIn this research, we demonstrate novel Hermite–Hadamard–Mercer fractional integral inequalities using a wide class of fractional integral operators (the Raina fractional operator).
Zeynep Çiftci +4 more
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Evolutionary Approach to Inequalities of Hermite–Hadamard–Mercer Type for Generalized Wright’s Functions Associated with Computational Evaluation and Their Applications [PDF]
Fractal and FractionalThe theory of integral inequalities has a wide range of applications in physics and numerical computation, and plays a fundamental role in mathematical analysis.
Talib Hussain +2 more
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Levinson's type generalization of the Jensen inequality and its converse for real Stieltjes measure. [PDF]
J Inequal Appl, 2017 Mikić R, Pečarić J, Rodić M.
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