Results 31 to 40 of about 466,424 (157)
Continuous Sharpening of Hölder's and Minkowski's Inequalities [PDF]
Some properties of functions which in special cases lead to sharpening of Holder's and other interesting inequalities are proved. Results analogue to theorems leading to reverse Holder's inequality are presented.
Abramovich, S. +2 more
openaire +3 more sources
Three proofs of Minkowski's second inequality in the geometry of numbers
Let K be a bounded, open convex set in euclidean n-space Rn, symmetric in the origin 0. Further let L be a lattice in Rn containing 0 and put m4=infimum ui i=1,2,.....,n; extended over all positive real numbers ui for which uiK contains i linearly ...
Bambah, R. P. +2 more
core +1 more source
Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data
ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Hui Chen, Su Liang, Tai‐Peng Tsai
wiley +1 more source
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
The High Cost of Gender Inequality in Earnings
This first note in the series on the cost of gender inequality focuses on the losses in national wealth due to gender inequality in earnings. There is a substantial literature on the impact of gender inequality on
de la Brière, Bénédicte +1 more
core +1 more source
The Hölder and Minkowski Inequalities Utilizing a Fractional Operator Involvement of Pseudo-Operator [PDF]
A generalized integral operator of order $\alpha$ of a real function $f$ including a parameter set $P$, namely $K_P^\alpha f(t)$ has been introduced by O. P.
Hadiseh Fallah Andevari +2 more
doaj +1 more source
Amenability Constants for Unconditional Sums of Banach Algebras
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley +1 more source
On Hölder and Minkowski Type Inequalities
We obtain inequalities of Hölder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of nonnegative weights.
Petr Chunaev +2 more
openaire +6 more sources
Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System
ABSTRACTWe study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic problem and avoid higher‐order energy estimates and inverse inequalities ...
Marvin Fritz
wiley +1 more source
International audienceWe revisit Muirhead's inequality together with some related known inequalities.
Mhanna, Antoine
core

