Some new refinements of the Young, H\" older and Minkowski inequalities (CROSBI ID 322005)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Nikolova, Ludmila ; Persson, Lars-Erik ; Varošanec, Sanja
engleski
Some new refinements of the Young, H\" older and Minkowski inequalities
We prove and discuss some new refined Holder's inequalities for any p>1 and also a reversed version for p\in (0, 1). The key is to use the concept of superquadraticity, strong convexity and to first prove the corresponding refinements of the Young and reversed Young inequalities. Refinement of the Minkowski and reversed Minkowski inequalities are also given.
Inequalities ; refinements ; Young inequality ; Holder inequality ; Minkowski inequality ; superquadraticity ; strong convexity
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Podaci o izdanju
2023
2023.
28
15
objavljeno
1025-5834
1029-242X
10.1186/s13660-023-02934-0
Povezanost rada
Matematika