Blar i forfatter Artikler, rapporter og annet (datateknologi og beregningsorienterte ingeniørfag) "Nikolova, Ludmila"

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    • Continuous refinements of some Jensen-type inequalities via strong convexity with applications 

      Nikolova, Ludmila; Persson, Lars-Erik; Varošanec, Sanja (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-05-23)
      In this paper we prove new continuous refinements of some Jensen type inequalities in both direct and reversed forms. As applications we also derive some continuous refinements of Hermite–Hadamard, Hölder, and Popoviciu type inequalities. As particular cases we point out the corresponding results for sums and integrals showing that our results contain both several well-known but also some new ...

    • A new look at classical inequalities involving Banach lattice norms 

      Nikolova, Ludmila; Persson, Lars Erik; Varosanec, Sanja (Journal article; Peer reviewed; Tidsskriftartikkel, 2017-12-08)
      Some classical inequalities are known also in a more general form of Banach lattice norms and/or in continuous forms (i.e., for ‘continuous’ many functions are involved instead of finite many as in the classical situation). The main aim of this paper is to initiate a more consequent study of classical inequalities in this more general frame. We already here contribute by discussing some results of ...

    • Refinements of some classical inequalities via superquadraticity 

      Nikolova, Ludmila; Persson, Lars-Erik; Varošanec, Sanja; Yimer, Markos Fisseha (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-06-21)
      Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In particular, these results both generalize and unify several results of this type. Some results are also new for the classical situation.

    • Some new refinements of the Young, Hölder, and Minkowski inequalities 

      Nikolova, Ludmila; Persson, Lars-Erik; Varošanec, Sanja (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-02-21)
      We prove and discuss some new refined Hölder inequalities for any p>1 and also a reversed version for 0<p<1. The key is to use the concepts of superquadraticity, strong convexity, and to first prove the corresponding refinements of the Young and reversed Young inequalities. Refinements of the Minkowski and reversed Minkowski inequalities are also given.