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Weighted multidimensional inequalities for monotone functions

Sorina Barza; Lars-Erik Persson — 1999

Mathematica Bohemica

We discuss the characterization of the inequality (RN+ fq u)1/q C (RN+ fp v )1/p, 0<q, p <, for monotone functions $f \geq 0$ and nonnegative weights $u$ and $v$ and $N \geq 1$ . We prove a new multidimensional integral modular inequality for monotone functions. This inequality generalizes and unifies some recent results in one and several dimensions.

Multidimensional integral inequalities with homogeneous weights.

Bârză, Sorina — 2005

General Mathematics

New characterizations of asymptotic stability for evolution families on Banach spaces.

Barza, Sorina; Buse, Constantin; Pecaric, Josip — 2004

Electronic Journal of Differential Equations (EJDE) [electronic only]

Weighted multiplicative integral inequalities.

Barza, Sorina; Popa, Emil C. — 2006

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Carlson type inequalities.

Barza, Sorina; Pečarić, Josip; Persson, Lars-Erik — 1998

Journal of Inequalities and Applications [electronic only]

A Sawyer duality principle for radially monotone functions in $ℝ^{n}$ .

Barza, Sorina; Johansson, Maria; Persson, Lars-Erik — 2005

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Some multiplicative inequalities for inner products and of the Carlson type.

Barza, Sorina; Persson, Lars-Erik; Popa, Emil C. — 2008

Journal of Inequalities and Applications [electronic only]

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