Results 61 to 70 of about 478,342 (163)
The Inequalities for Quasiarithmetic Means
Abstract and Applied Analysis, 2012 Overview and refinements of the results are given for discrete, integral, functional and operator variants of inequalities for quasiarithmetic means. The general results are applied to further refinements of the power means.
Jadranka Mićić +2 more
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Some results on quantum Hahn integral inequalities
Journal of Inequalities and Applications, 2019 In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ $_{\theta }\varPhi _{q}(t)=qt+(1-q)\theta $, t∈[a,b] $t\in [a,b]$, θ=ω/(1−q)+a $\theta = \omega /(1-q)+a$
Suphawat Asawasamrit +3 more
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Journal of Function Spaces, 2020 In this paper, we define a new derivative operator involving q-Ruscheweyh differential operator using convolution. Using this new operator, we introduce two new classes of analytic functions and obtain the Fekete–Szegö inequalities.
Abdullah Alsoboh, Maslina Darus
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Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel
Journal of Mathematics, 2021 The major purpose of this paper is to use the fractional integral operator in terms of extended generalized Bessel function to estimate new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions.
Arshad Hussain +4 more
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Some inequalities and superposition operator in the space of regulated functions
Advances in Nonlinear Analysis, 2019 Some inequalities connected to measures of noncompactness in the space of regulated function R(J, E) were proved in the paper. The inequalities are analogous of well known estimations for Hausdorff measure and the space of continuous functions.
Olszowy Leszek, Zając Tomasz
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Kantorovich Type Integral Inequalities for Tensor Product of Continuous Fields of Hilbert Space Operators [PDF]
arXiv, 2015 This paper presents a number of Kantorovich type integral inequalities involving tensor products of continuous fields of bounded linear operators on a Hilbert space. Kantorovich type inequality in which the product is replaced by an operator mean is also considered. Such inequalities include discrete inequalities as special cases.
arxiv
Some inequalities for P-class functions [PDF]
arXiv, 2020 In this paper, we provide some inequalities for $P$-class functions and self-adjoint operators on a Hilbert space including an operator version of the Jensen's inequality and the Hermite-Hadamard's type inequality. We improve the H\"{o}lder-MacCarthy inequality by providing an upper bound.
arxiv
Some New Inequalities of Dirichlet Eigenvalues for Laplace Operator with any Order [PDF]
, 2014 In this paper, we establish several inequalities of Dirichlet eigenvalues for Laplace operator $\Delta $ with any order on \emph{n}-dimensional Euclidean space.
Huang, Na, Niu, Pengcheng
core
Some Sharp L^2 Inequalities for Dirac Type Operators
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We use the spectra of Dirac type operators on the sphere $S^n$ to produce sharp $L^2$ inequalities on the sphere. These operators include the Dirac operator on $S^n$, the conformal Laplacian and Paenitz operator.
Alexander Balinsky, John Ryan
doaj
New midpoint-type inequalities in the context of the proportional Caputo-hybrid operator
Journal of Inequalities and ApplicationsFractional calculus is a crucial foundation in mathematics and applied sciences, serving as an extremely valuable tool. Besides, the new hybrid fractional operator, which combines proportional and Caputo operators, offers better applications in numerous ...
İzzettin Demir, Tuba Tunç
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