Results 41 to 50 of about 978 (185)
Advances in Ostrowski-Mercer Like Inequalities within Fractal Space [PDF]
Fractal and Fractional, 2023 The main idea of the current investigation is to explore some new aspects of Ostrowski’s type integral inequalities implementing the generalized Jensen–Mercer inequality established for generalized s-convexity in fractal space.
Miguel Vivas-Cortez +4 more
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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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A variant of Jensen’s inequality of Mercer’s type for operators with applications
Linear Algebra and Its Applications, 2006 A variant of Jensen's operator inequality for convex functions, which is a generalization of Mercer's result, is proved. Obtained result is used to prove a monotonicity property for Mercer's power means for operators, and a comparison theorem for quasi-arithmetic means for operators.
A Matkovic, Josip Pecaric, I Perić
exaly +4 more sources
Fractal and FractionalIn this study, we examine the error bounds related to Milne-type inequalities and a widely recognized Newton–Cotes method, originally developed for three-times-differentiable convex functions within the context of Jensen–Mercer inequalities. Expanding on
Arslan Munir +4 more
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Bullen–Simpson–Mercer type inequalities
Open MathematicsThe main objective of our paper is to establish a new set of Bullen–Simpson type inequalities concerning the Jensen–Mercer's inequality. At first, we derive a new general Bullen–Simpson–Mercer's identity, with which we get out primary consequences ...
Vukelić Ana
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On Estimation of the Bullen-Mercer Inequality for Several Classes [PDF]
Sahand Communications in Mathematical AnalysisThis study establishes Bullen-Mercer type inequalities for $h$-convex functions that use Riemann-Liouville fractional operators. The subject matter is a novel fractional version of the existing Bullen-Mercer type inequalities, with simple computations ...
Ahmed Hallouz +2 more
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FRACTAL HADAMARD–MERCER-TYPE INEQUALITIES WITH APPLICATIONS
Fractals, 2022 Fractal analysis is a totally new area of research based on local fractional calculus. It has interesting applications in various fields such as a complex graph, computer graphics, the music industry, picture compression and many more fields. In this paper, we present new variants of Hadamard–Mercer-type inequalities on fractal sets [Formula: see text]
Butt, Saad Ihsan +4 more
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Journal of Inequalities and Applications, 2022 In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt +3 more
doaj +1 more source
On some inequalities for uniformly convex mapping with estimations to normal distributions
Journal of Inequalities and Applications, 2023 In this paper, we introduce notable Jensen–Mercer inequality for a general class of convex functions, namely uniformly convex functions. We explore some interesting properties of such a class of functions along with some examples.
Saad Ihsan Butt +4 more
doaj +1 more source
On Fractional Ostrowski-Mercer-Type Inequalities and Applications
Symmetry, 2023 The objective of this research is to study in detail the fractional variants of Ostrowski–Mercer-type inequalities, specifically for the first and second order differentiable s-convex mappings of the second sense. To obtain the main outcomes of the paper, we leverage the use of conformable fractional integral operators.
Sofia Ramzan +3 more
openaire +2 more sources