Izvorni znanstveni članak
https://doi.org/10.21857/90836c2p8y
Generalized Hardy-type inequality via Lidstone interpolating polynomial and new Green functions
Dora Pokaz
; Faculty of Civil Engineering, University of Zagreb, 10 000 Zagreb, Croatia
Sažetak
For a given general setting, involving measure spaces with positive σ-finite measures, we present new results regarding Hardy-type inequality. We established a connection between the difference operator obtained from Hardy-type inequality and the expression that includes Lidstone interpolating polynomial and four new Green functions. We discuss about 2n convexity of the function and consider the main result depending on the parity of the part of exponent and index n. Applying Hölder inequality for conjugate exponents p and q we get some consequential results. Finally, we derived bounds for the identity using Čebyšev functional and Ostrowski-type bound for the generalized Hardy's inequality.
Ključne riječi
Convex function; Hardy-type inequality; Lidstone interpolating polynomial; Green function; Čebyšev functional
Hrčak ID:
326522
URI
Datum izdavanja:
9.1.2025.
Posjeta: 0 *