Further improvements of Young inequality
, 2017 We focus on the improvements for Young inequality. We give elementary proof for known results by Dragomir, and we give remarkable notes and some comparisons.
Furuichi, Shigeru
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Some Remarks on the Trapezoid Rule In Numerical Integration [PDF]
, 1999 In this paper, by the use of some classical results from the Theory of Inequalities, we point out quasi-trapezoid quadrature formulae for which the error of approximation is smaller than in the classical case.
Cerone, Pietro +2 more
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New generalization of discrete Montgomery identity with applications [PDF]
, 2016 In this paper, a discrete version of the well-known Montgomery's identity is generalized, and a refinement of an inequality derived by B.G. Pachpatte in 2007 is presented.
Díaz Barrero, José Luis +1 more
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Decompositions of Nakano norms by ODE techniques
, 2018 We study decompositions of Nakano type varying exponent Lebesgue norms and spaces. These function spaces are represented here in a natural way as tractable varying $\ell^p$ sums of projection bands. The main results involve embedding the varying Lebesgue
Talponen, Jarno
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On isoperimetric inequalities with respect to infinite measures [PDF]
, 2011 We study isoperimetric problems with respect to infinite measures on $R ^n$. In the case of the measure $\mu$ defined by $d\mu = e^{c|x|^2} dx$, $c\geq 0$, we prove that, among all sets with given $\mu-$measure, the ball centered at the origin has the ...
Brock, F. +2 more
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Abel-type inequalities, complex numbers and Gauss-Pólya type integral inequalities [PDF]
, 1998 We obtain inequalities of Abel type but for nondecreasing sequences rather than the usual nonincreasing sequences. Striking complex analogues are presented. The inequalities on the real domain are used to derive new integral inequalities related to those
C. E. D. Pearce +2 more
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Symmetrization Inequalities for Composition Operators of Carathéodory Type [PDF]
, 2017 Let F:(0, ∞) × [0, ∞) → R be a function of Carathéodory type. We establish the inequality $$ \int_{\mathbb{R}^{N}} F( | x |, u(x) ) dx \leq \int_{\mathbb{R}^{N} } F( | x |, u^{\ast}(x)) dx.
Hajaiej, H., Stuart, C. A.
core
On the infinite Borwein product raised to a positive real power. [PDF]
Ramanujan J, 2023 Schlosser MJ, Zhou NH.
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Inertial cell sorting of microparticle-laden flows: An innovative OpenFOAM-based arbitrary Lagrangian-Eulerian numerical approach. [PDF]
Biomicrofluidics, 2021 Hashemi Shahraki Z +2 more
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Monotonicity properties and bounds for the complete p-elliptic integrals. [PDF]
J Inequal Appl, 2018 Huang TR, Tan SY, Ma XY, Chu YM.
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