Results 21 to 30 of about 359 (228)
Linear Algebra and its Applications, 2009 Let \(M_{n}({\mathbb C})\) be the set of all complex \(n\)-square matrices. The modulus \((X^{\ast }X)^{1/2}\) of \(X\in M_{n}\) is written as \(|X|\). Let \(h=h(t):[0,\infty )\rightarrow [ 0,\infty )\) be strictly increasing, continuous function with \( h(0)=0\) and \(h(t)\rightarrow \infty \) as \(t\rightarrow \infty \).
Cho, Kazuki, Sano, Takashi
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On further refinements for Young inequalities
Open Mathematics, 2018 In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
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Multiple-Term Refinements of Young Type Inequalities
Journal of Mathematics, 2016 Recently, a multiple-term refinement of Young’s inequality has been proved. In this paper, we show its reverse refinement. Moreover, we will present multiple-term refinements of Young’s inequality involving Kantorovich constants.
Daeshik Choi
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Boundary Value Problems, 2022 In this article, we consider a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity. We prove explicit and general decay rate results of the solution to the viscoelastic plate equation with past history.
Bhargav Kumar Kakumani +1 more
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Sharpness in Young’s inequality for convolution [PDF]
Pacific Journal of Mathematics, 1977 Summary: Let \(p\) and \(q\) be indices in the open interval \((1,\infty)\) such that \(pq < p+q\); let \(r = pq/(p+q-pq)\). It is shown here that there is a constant \(C_{p,q} < 1\) such that, if \(G\) is a locally compact, unimodular group with no compact open subgroups, and if \(g\) and \(f\) are functions in \(L^p(G)\) and \(L^q(G)\) respectively ...
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British Educational Research Journal, EarlyView., 2023 Abstract Early childhood has increasingly been acknowledged as a vital time for all children. Inclusive and quality education is part of the United Nations Sustainable Development Goals, with the further specification that all children have access to quality pre‐primary education.
Laura H. V. Wright +8 more
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Journal of Inequalities and Applications, 2017 The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality.
Jie Zhang, Junliang Wu
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Journal of Inequalities and Applications, 2021 The main motivation of this study is to bring together the field of inequalities with fractional integral operators, which are the focus of attention among fractional integral operators with their features and frequency of use.
Havva Kavurmacı Önalan +3 more
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Jessen's functional, its properties and applications
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we consider Jessen's functional, defined by means of a positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized power means, which yields extensions of some recent results,
Lovričević Neda +2 more
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Actuators, 2021 The aim of this study is to develop a new observer-based stabilization strategy for a class of Lipschitz uncertain systems. This new strategy improves the performances of existing methods and ensures better convergence conditions. Sliding window approach
Noussaiba Gasmi +4 more
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