Results 31 to 40 of about 3,545,351 (277)
Optimal young's inequality and its converse: a simple proof [PDF]
, 1997 . We give a new proof of the sharp form of Young's inequality for convolutions, first proved by Beckner [Be] and Brascamp-Lieb [BrLi]. The latter also proved a sharp reverse inequality in the case of exponents less than 1.
F. Barthe
semanticscholar +1 more source
Analysis and optimal boundary control of a nonstandard system of phase field equations [PDF]
, 2012 We investigate a nonstandard phase field model of Cahn-Hilliard type. The model describes two-species phase segregation and consists of a system of two highly nonlinearly coupled PDEs.
Colli, Pierluigi +2 more
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Newton–Simpson-type inequalities via majorization
Journal of Inequalities and Applications, 2023 In this article, the main objective is construction of fractional Newton–Simpson-type inequalities with the concept of majorization. We established a new identity on estimates of definite integrals utilizing majorization and this identity will lead us to
Saad Ihsan Butt +3 more
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On Opial-Wirtinger type inequalities
AIMS Mathematics, 2020 In the present paper we establish some new Opial-Wirtinger’s type inequalities involving Katugampola partial derivatives. These new results in special cases yield Agarwal and Pang’s, Traple’s and Pachpatte’s inequalities and provide new estimates on ...
Chang-jian Zhao
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Noncommutative Uncertainty Principles [PDF]
, 2014 The classical uncertainty principles deal with functions on abelian groups. In this paper, we discuss the uncertainty principles for finite index subfactors which include the cases for finite groups and finite dimensional Kac algebras.
Jiang, Chunlan +2 more
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Distributed optimal control of a nonstandard system of phase field equations [PDF]
, 2011 We investigate a distributed optimal control problem for a phase field model of Cahn-Hilliard type. The model describes two-species phase segregation on an atomic lattice under the presence of diffusion; it has been recently introduced by the same ...
B.D. Coleman +17 more
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New Majorized Fractional Simpson Estimates
Axioms, 2023 Fractional calculus has been a concept used to acquire new variants of some well-known integral inequalities. In this study, our primary goal is to develop majorized fractional Simpson’s type estimates by employing a differentiable function.
Xiaoye Ding +4 more
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Young’s inequality and related results on time scales
Applied Mathematics Letters, 2005 Fu-Hsiang Wong +3 more
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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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Fractional generalizations of Young and Brunn-Minkowski inequalities
, 2011 A generalization of Young's inequality for convolution with sharp constant is conjectured for scenarios where more than two functions are being convolved, and it is proven for certain parameter ranges.
Bobkov, Sergey +2 more
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