Browsing Artikler, rapporter og annet (datateknologi og beregningsorienterte ingeniørfag) by Author "Yimer, Markos Fisseha"
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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 multidimensional Cochran-Lee and Hardy type inequalities
Yimer, Markos Fisseha; Persson, Lars-Erik; Ayele, Tsegaye Gedif (Journal article; Tidsskriftartikkel; Peer reviewed, 2023)A multidimensional Cochran-Lee operator is introduced and investigated in the frame of Hardy-type inequalities with parameters 0<p⩽q<∞. Moreover, for the case p=q and power weights even the sharp constant is derived, thus generalizing the original Cochran-Lee inequality to a multidimensional setting. As applications both several known but also new inequalities are pointed out.