REFINEMENTS OF HÖLDER’S INEQUALITY DERIVED FROM FUNCTIONS ψp,q,λ AND φp,q,λ
نویسندگان
چکیده
We investigate a convex function ψp,q,λ = max{ψp, λψq}, (1 ≤ q < p ≤ ∞), and its corresponding absolute normalized norm ‖.‖ψp,q,λ . We determine a dual norm and use it for getting refinements of the classical Hölder inequality. Also, we consider a related concave function φp,q,λ = min{ψp, λψq}, (0 < p < q ≤ 1).
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