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On Novel Mid-point type inequalities through twice-differentiable functions on tempered fractional integrals

Ashok Kumar Sahoo, Bibhakar Kodamasingh, Bharat Keshari Swain   +2 more
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Digital evolution and emerging inequalities in healthcare: a scoping review through the lens of knowledge management. [PDF]

BMC Health Serv Res
Vesperi W, Ventura M, Cristofaro CL, Melina AM.   +3 more
europepmc   +1 more source

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Repeated Integral Inequalities

IMA Journal of Numerical Analysis, 1984
The purpose of this paper is to present the following linear generalization of Gronwall's inequality: Let the function x be continuous and non-negative on the interval [0,T]. If \[ x(t)\leq \Phi (t)+M\int^{t}_{0}\int^{t_ m}_{0}...\int^{t_ 1}_{0}[x(s)/(t_ 1-s)^{\alpha}]ds dt_ 1...dt_ m,\quad t\in [0,T], \] where \(\alpha 0\) is constant, and \(\Phi\) (t)
Dixon, Jennifer, McKee, Sean
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NEWTON’S-TYPE INTEGRAL INEQUALITIES VIA LOCAL FRACTIONAL INTEGRALS

, 2020
We firstly establish an identity involving local fractional integrals. Then, with the help of this equality, some new Newton-type inequalities for functions whose the local fractional derivatives in modulus and their some powers are generalized convex ...
S. Iftikhar, Poom Kumam, S. Erden
semanticscholar   +1 more source

Generalized integral Niezgoda’s inequalities

Asian-European Journal of Mathematics, 2022
In this paper, we give generalizations followed by refinements of the integral version of Niezgoda’s inequality in several different ways by using weights, functions with nondecreasing increments and isotonic linear functionals.
M. Maqsood Ali, Asif R. Khan
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Integrals Refining Convex Inequalities

Bulletin of the Malaysian Mathematical Sciences Society, 2019
The authors prove that, if \(\Phi:\mathcal{B}(\mathcal{H})\rightarrow\mathcal{B}(\mathcal{K})\) is a normalized positive linear map, \(A\in\mathcal{B}(\mathcal{H})\) is a self-adjoint operator with the spectrum in \(J\), and \(f:J\rightarrow\mathbb{R}\) is a convex function, then \begin{align*} f\left(\frac{\langle\Phi(A)x, x\rangle+\langle\phi(A)y, y ...
Mohammad Sababheh, Hamid Reza Moradi, Shigeru Furuichi   +2 more
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Symmetrization and Integral Inequalities

Mathematical Notes, 2023
This paper offers a comprehensive investigation into Steiner symmetrizations applied to anisotropic integral functionals within the multivariate calculus of variations, with a specific focus on functions belonging to the Sobolev class and characterized by compact support.
openaire   +2 more sources