Results 31 to 40 of about 978 (185)
Hermite–Hadamard-Mercer Type Inequalities for Interval-Valued Coordinated Convex Functions
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
doaj +2 more sources
Exploration of Quantum Milne–Mercer-Type Inequalities with Applications
Symmetry, 2023 Quantum calculus provides a significant generalization of classical concepts and overcomes the limitations of classical calculus in tackling non-differentiable functions. Implementing the q-concepts to obtain fresh variants of classical outcomes is a very intriguing aspect of research in mathematical analysis.
Bandar Bin-Mohsin +5 more
openaire +2 more sources
On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications [PDF]
Fractal and Fractional, 2023 This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were
Soubhagya Kumar Sahoo +4 more
doaj +2 more sources
New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality
Complexity, 2020 Jensen’s inequality is one of the fundamental inequalities which has several applications in almost every field of science. In 2003, Mercer gave a variant of Jensen’s inequality which is known as Jensen–Mercer’s inequality. The purpose of this article is
Muhammad Adil Khan +2 more
doaj +2 more sources
New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators
Fractal and FractionalAs the most important inequality, the Hermite–Hadamard–Mercer inequality has attracted the interest of numerous additional mathematicians. Numerous findings on this inequality have been developed in recent years.
Çetin Yildiz +2 more
doaj +2 more sources
New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities
Alexandria Engineering Journal, 2020 An analogous version of Hermite-Hadamard-Mercer’s inequality has been established using the Katugampola fractional integral operators. The result is the generalization of the Riemann-Liouville fractional integral operator combined with the left and right
Hong-Hu Chu +3 more
doaj +3 more sources
Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators [PDF]
Boundary Value ProblemsIn this paper, we first prove a generalized fractional version of Hermite-Hadamard-Mercer type inequalities using h-convex functions by means of ψ-Hilfer fractional integral operators.
Noureddine Azzouz +3 more
doaj +2 more sources
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2013 We give a very simple proof of the classical Levinson inequality and generalise the result by Mercer.
Alfred Witkowski
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2022 In order to be able to study cosmic phenomena more accurately and broadly, it was necessary to expand the concept of calculus. In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type ...
Tariq A. Aljaaidi, Deepak B. Pachpatte
doaj +2 more sources
On a variant of Jessen–Mercer’s inequality
Annales Universitatis Mariae Curie-Sklodowska, sectio A – MathematicaA new variant of Mercer’s inequality [A.McD. Mercer, A variant of Jensen’s inequality, J. Inequal. Pure Appl. Math. 4(4) (2003) Article 73] of Jessen’s type is given. Moreover, versions of Chebyshev’s inequality and Hardy–Littlewood– Pólya inequality for some abstract nonnegative linear functionals are obtained.
Otachel, Zdzisław
openaire +3 more sources