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Generalizations of Hardy Type Inequalities by Abel– Gontscharoff’s Interpolating Polynomial (CROSBI ID 300421)
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Krulić Himmelreich, Kristina ; Pečarić, Josip ; Pokaz, Dora ; Praljak, Marjan
Generalizations of Hardy Type Inequalities by Abel– Gontscharoff’s Interpolating Polynomial // Mathematics, 9 (2021), 15; 1724, 14. doi: 10.3390/math9151724
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Krulić Himmelreich, Kristina ; Pečarić, Josip ; Pokaz, Dora ; Praljak, Marjan
engleski
Generalizations of Hardy Type Inequalities by Abel– Gontscharoff’s Interpolating Polynomial
In this paper, we extend Hardy’s type inequalities to convex functions of higher order. Upper bounds for the generalized Hardy’s inequality are given with some applications.
Hardy type inequalities ; Abel–Gontscharoff interpolating polynomial ; Green function ; Chebyshev functional ; Grüss type inequalities ; Ostrowski type inequalities ; convex function ; kernel ; upper bounds
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