Generalizations of Hardy Type Inequalities by Abel–Gontscharoff’s Interpolating Polynomial

Kristina Krulić Himmelreich, Josip Pečarić, Dora Pokaz and Marjan Praljak
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Kristina Krulić Himmelreich: Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovica 28a, 10000 Zagreb, Croatia
Josip Pečarić: Croatian Academy of Sciences and Arts, Trg Nikole Šubića Zrinskog, 10000 Zagreb, Croatia
Dora Pokaz: Faculty of Civil Engineering, University of Zagreb, Fra Andrije Kačića-Miošića 26, 10000 Zagreb, Croatia
Marjan Praljak: Faculty of Food Technology and Biotechnology, University of Zagreb, 6 Pierottijeva Street in Zagreb, 10000 Zagreb, Croatia

Mathematics, 2021, vol. 9, issue 15, 1-14

Abstract: 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.

Keywords: inequalities; Hardy type inequalities; Abel–Gontscharoff interpolating polynomial; Green function; Chebyshev functional; Grüss type inequalities; Ostrowski type inequalities; convex function; kernel; upper bounds (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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