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

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.

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Veröffentlicht in:Mathematics (Basel) 2021-08, Vol.9 (15), p.1724
Hauptverfasser: Krulić Himmelreich, Kristina, Pečarić, Josip, Pokaz, Dora, Praljak, Marjan
Format: Artikel
Sprache:eng
Schlagworte:
Abel–Gontscharoff interpolating polynomial
Analysis
Chebyshev functional
Convex analysis
Green function
Grüss type inequalities
Hardy type inequalities
Inequalities
Inequalities (Mathematics)
Inequality
Interpolation
Mathematical analysis
Methods
Polynomials
Upper bounds
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Beschreibung
Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9151724