Results 31 to 40 of about 67,609 (152)
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag‐Leffler function in its kernel. We prove the boundedness of this newly defined operator. A fractional integral operator comprising a unified Mittag‐Leffler function is used to establish further Minkowski‐type integral inequalities ...
Tingmei Gao +5 more
wiley +1 more source
A generalized form of Grüss type inequality and other integral inequalities
Journal of Inequalities and Applications, 2014 The aim of this presentation is to show several integral inequalities. Among these inequalities we have the inequality varh(f)≤(Γ1−Mh[f])(Mh[f]−γ1), where varh(f) denotes the h-variance of f, which is a bounded function defined on [a,b] with γ1≤f(x)≤Γ1 ...
N. Minculete, L. Ciurdariu
semanticscholar +2 more sources
Chebyshev‐Type Inequalities Involving (k, ψ)‐Proportional Fractional Integral Operators
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Expanding the analytical aspect of mathematics enables researchers to study more cosmic phenomena, especially with regard to the applied sciences related to fractional calculus. In the present paper, we establish some Chebyshev‐type inequalities in the case synchronous functions.
Bhagwat R. Yewale +3 more
wiley +1 more source
Some New Upper Bounds for the Y‐Index of Graphs
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In mathematical chemistry, the topological indices with highly correlation factor play a leading role specifically for developing crucial information in QSPR/QSAR analysis. Recently, there exists a new graph invariant, namely, Y‐index of graph proposed by Alameri as the sum of the fourth power of each and every vertex degree of that graph.
Durbar Maji +3 more
wiley +1 more source
General Opial Type Inequality and New Green Functions
Axioms, 2022 In this paper we provide many new results involving Opial type inequalities. We consider two functions—one is convex and the other is concave—and prove a new general inequality on a measure space (Ω,Σ,μ).
Ana Gudelj +2 more
doaj +1 more source
A Grüss type inequality for vector-valued functions in Hilbert C∗-modules [PDF]
Journal of Inequalities and Applications, 2014 In this paper we prove a version of Grüss’ integral inequality for mappings with values in Hilbert C∗-modules. Some applications for such functions are also given. MSC:46L08, 46H25, 26D15.
A. Ghazanfari
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In accordance with the quantum calculus, we introduced the two variable forms of Hermite‐Hadamard‐ (HH‐) type inequality over finite rectangles for generalized Ψ‐convex functions. This novel framework is the convolution of quantum calculus, convexity, and special functions.
Saima Rashid +5 more
wiley +1 more source
Approximation Properties of New Modified Gamma Operators
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 This paper is aimed at constructing new modified Gamma operators using the second central moment of the classic Gamma operators. And we will compute the first, second, fourth, and sixth order central moments by the moment computation formulas, and their quantitative properties are researched. Then, the global results are established in certain weighted
Yun-Shun Wu +4 more
wiley +1 more source
Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces [PDF]
, 2017 Some trace inequalities of Cassels type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also ...
Dragomir, Sever S
core +2 more sources
Generalization of weighted Ostrowski-Gruss type inequality by using Korkine's identity
, 2020 We obtained generalized weighted Ostrowski Gruss type inequality with parameters, for differentiable functions by using the weighted Korkine’s identity and then we applied these obtain inequalities to probability density functions.
S. Dragomir, Nazia Irshad, Asif R Khan
semanticscholar +1 more source