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Your search keyword '"M. Klaričić Bakula"' showing total 2 results
Start Over Author "M. Klaričić Bakula" Journal journal of inequalities and applications
2 results on '"M. Klaričić Bakula"'

1. Jensen–Steffensen inequality for strongly convex functions

Author

M. Klaričić Bakula

Subjects
Strongly convex functions, Jensen inequality, Jensen–Steffensen inequality, Mathematics, QA1-939
Abstract

Abstract The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen–Steffensen inequality for convex functions. In this paper we prove the Jensen–Steffensen inequality for strongly convex functions.

Published
2018
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2. Variants of Čebyšev's inequality with applications

Author

M. Klaričić Bakula, Anita Matković, and Josip Pečarić

Subjects
Kantorovich inequality, Hölder's inequality, Bernoulli's inequality, Applied Mathematics, 010102 general mathematics, Ky Fan inequality, 010103 numerical & computational mathematics, Minkowski inequality, 01 natural sciences, Čebyšev's inequality, Ostrowski's inequalities, discrete Milne's inequality, Combinatorics, Algebra, Linear inequality, Discrete Mathematics and Combinatorics, Log sum inequality, Rearrangement inequality, 0101 mathematics, Analysis, Mathematics
Abstract

Several variants of Cebysev's inequality for two monotonic -tuples and also nonnegative -tuples monotonic in the same direction are presented. Immediately after that their refinements of Ostrowski's type are given. Obtained results are used to prove generalizations of discrete Milne's inequality and its converse in which weights satisfy conditions as in the Jensen-Steffensen inequality.

Published
2006
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