Inequalities on the variances of convex functions of random variables.
Inequalities related to majorization of vectors.
Inequalities related to the Chebyshev functional involving integrals over different intervals.
Inequalities via convex functions.
Inequality for power series with nonnegative coefficients and applications
We establish in this paper some Jensen’s type inequalities for functions defined by power series with nonnegative coefficients. Applications for functions of selfadjoint operators on complex Hilbert spaces are provided as well.
Integral inequalities and computer algebra systems.
Integral inequalities involving generalized Erdélyi-Kober fractional integral operators
Using the generalized Erdélyi-Kober fractional integrals, an attempt is made to establish certain new fractional integral inequalities, related to the weighted version of the Chebyshev functional. The results given earlier by Purohit and Raina (2013) and Dahmani et al. (2011) are special cases of results obtained in present paper.
Integral inequalities of the Ostrowski type.
Integral inequalities related to Hardy's inequality.
Integral inequalities similar to Gronwall inequality.
Integrodifferential inequality for stability of singularly perturbed impulsive delay integrodifferential equations.
Inverse Limit Spaces Satisfying a Poincaré Inequality
We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imply that the measured Gromov-Hausdorff limit (equivalently, the inverse limit) is a PI space i.e., it satisfies a doubling condition and a Poincaré inequality in the sense of Heinonen-Koskela [12]. The Poincaré inequality is actually of type (1, 1). We also give a systematic construction of examples for which our conditions are satisfied. Included are known examples of PI spaces, such as Laakso spaces,...
Inverses of new Hilbert-Pachpatte-type inequalities.
Iterative refinements of the Hermite-Hadamard inequality, applications to the standard means.
Iterierte arithmetische Mittelung und eine Verallgemeinerung der Jesenschen Ungleichung.
Jensen inequalities for functions with higher monotonicities.
Jensen type inequalities involving homogeneous polynomials.
Jensen's inequality for convex-concave antisymmetric functions and applications.
John-Nirenberg type inequalities for the Morrey-Campanato spaces.
Józef Marcinkiewicz (1910-1940) - on the centenary of his birth
Józef Marcinkiewicz’s (1910-1940) name is not known by many people, except maybe a small group of mathematicians, although his influence on the analysis and probability theory of the twentieth century was enormous. This survey of his life and work is in honour of the anniversary of his birth and anniversary of his death. The discussion is divided into two periods of Marcinkiewicz’s life. First, 1910-1933, that is, from his birth to his graduation from the University of Stefan Batory in Vilnius,...