Results 41 to 50 of about 1,680 (149)
Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means
Annales Mathematicae Silesianae, 2023 In this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.
Nadhomi Timothy
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Ostrowski Type Inequalities over Spherical Shells [PDF]
, 2008 2000 Mathematics Subject Classification: 26D10, 26D15.Here are presented Ostrowski type inequalities over spherical shells. These regard sharp or close to sharp estimates to the difference of the average of a multivariate function from its value at a ...
Anastassiou, George A.
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New Inequalities of Simpson’s type for differentiable functions via generalized convex function
, 2021 This article presents some new inequalities of Simpson’s type for differentiable functions by using (α,m)-convexity. Some results for concavity are also obtained. These new estimates improve on the previously known ones.
Shan E. Farooq +4 more
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On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane
Open Mathematics, 2023 We establish necessary conditions for the existence of solutions to various systems of partial differential inequalities in the plane. The obtained conditions provide new Hermite-Hadamard-type inequalities for differentiable functions in the plane.
Jleli Mohamed, Samet Bessem
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An Inequality in Metric Spaces [PDF]
, 2004 In this note we establish a general inequality valid in metric spaces that is related to the polygonal inequality and admits also a natural geometrical interpretation.
Dragomir, Sever S, Goşa, Anca C
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Simpson type quantum integral inequalities for convex functions
, 2018 In this paper we establish some new Simpson type quantum integral inequalities for convex functions. Moreover, we obtain some inequalities for special means.
Mevlut Tunc, E. Göv, S. Balgecti
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An application of Hayashi's inequality in numerical integration
Open Mathematics, 2023 This study systematically develops error estimates tailored to a specific set of general quadrature rules that exclusively incorporate first derivatives.
Heilat Ahmed Salem +4 more
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Ostrowski-type inequalities via h-convex functions with applications to special means [PDF]
, 2012 In this paper, we establish some new Ostrowski-type inequalities for absolutely continuous mappings whose first derivatives in absolute value are h-convex (resp. h-concave) and which are super-multiplicative or super-additive.
Mevlut Tunc
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Integral inequalities involving generalized Erdélyi-Kober fractional integral operators
Open Mathematics, 2016 Using the generalized Erdélyi-Kober fractional integrals, an attempt is made to establish certain new fractional integral inequalities, related to the weighted version of the Chebyshev functional. The results given earlier by Purohit and Raina (2013) and
Baleanu Dumitru +2 more
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Demonstratio Mathematica, 2023 In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
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