Results 31 to 40 of about 30,526 (192)
Complex geodesics, their boundary regularity, and a Hardy--Littlewood-type lemma
, 2015 We begin by giving an example of a smoothly bounded convex domain that has complex geodesics that do not extend continuously up to $\partial\mathbb{D}$.
Bharali, Gautam
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New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality
Complexity, 2020 Jensen’s inequality is one of the fundamental inequalities which has several applications in almost every field of science. In 2003, Mercer gave a variant of Jensen’s inequality which is known as Jensen–Mercer’s inequality. The purpose of this article is
Muhammad Adil Khan +2 more
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Some New Jensen–Mercer Type Integral Inequalities via Fractional Operators
Axioms, 2023 In this study, we present new variants of the Hermite–Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex ...
Bahtiyar Bayraktar +2 more
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Dirichlet polynomials, Majorization, and Trumping
, 2013 Majorization and trumping are two partial orders which have proved useful in quantum information theory. We show some relations between these two partial orders and generalized Dirichlet polynomials, Mellin transforms, and completely monotone functions ...
Pereira, Rajesh, Plosker, Sarah
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Some generalizations of Mercer inequality and its operator extensions
Miskolc Mathematical NotesWe give a more general form of the Mercer inequality by replacing some constants by positive operators. As some consequences, our results produce a Jensen operator inequality for superquadratic functions.
Mohsen Kian, Zainab Peymani
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Reverse Jensen-Mercer Type Operator Inequalities
The Electronic Journal of Linear Algebra, 2016 Let $A$ be a selfadjoint operator on a Hilbert space $\mathcal{H}$ with spectrum in an interval $[a,b]$ and $\phi:B(\mathcal{H})\rightarrow B(\mathcal{K})$ be a unital positive linear map, where $\mathcal{K}$ is also a Hilbert space.
Anjidani, Ehsan +1 more
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A counterpart to Jensen-Mercer inequality
Advances in Inequalities and Applications, 2020 The main goal of this paper is to point out some refinements of the reverse of the Jensen-Mercer inequality.
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British Educational Research Journal, EarlyView.Abstract There is much interest in the potential for an alternative funding system for higher education students in England to support the spiritual and worldly needs of British Muslim students. At the heart of this issue lies a tension over whether the student financing system in English HE is haram, or forbidden under Islamic (Shari'ah) law, because ...
Richard Hall +2 more
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International Journal of Mathematics and Mathematical Sciences, 2022 In order to be able to study cosmic phenomena more accurately and broadly, it was necessary to expand the concept of calculus. In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type ...
Tariq A. Aljaaidi, Deepak B. Pachpatte
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British Educational Research Journal, EarlyView.Abstract The intersection of economic conditions and early years education has long been debated, particularly where financial constraints shape educational practice and professional realities. Türkiye, characterised by high inflation and structural vulnerabilities in purchasing power parity, provides a critical context for examining how economic ...
Ebru Aydın, Şerif Yüksel
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