General Opial type inequality
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| 024 | 7 | 0 | |a 10.1007/s00010-013-0252-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-013-0252-4 | ||
| 245 | 0 | 0 | |a General Opial type inequality |h [Elektronische Daten] |c [Ana Barbir, Kristina Himmelreich, Josip Pečarić] |
| 520 | 3 | |a In this paper our goal is to give a general Opial type inequality. We consider two functions, convex and concave and prove a new general inequality on a measure space (Ω,Σ,μ). The obtained inequalities are not direct generalizations of the Opial inequality but are of Opial type because the integrals contain a function and its integral representation. We apply our result to numerous symmetric functions and obtain new results that involve Green's functions, Lidstone series and the Hermite's interpolating polynomials. | |
| 540 | |a Springer Basel, 2014 | ||
| 690 | 7 | |a Opial inequality |2 nationallicence | |
| 690 | 7 | |a green function |2 nationallicence | |
| 690 | 7 | |a jensen inequality |2 nationallicence | |
| 690 | 7 | |a lidstone polynomial |2 nationallicence | |
| 690 | 7 | |a hermite interpolating polynomial |2 nationallicence | |
| 700 | 1 | |a Barbir |D Ana |u Faculty of Civil Engineering and Architecture, Matice rvatske 15, 21 000, Split, Croatia |4 aut | |
| 700 | 1 | |a Himmelreich |D Kristina |u Faculty of Textile Technology and University of Zagreb, Prilaz baruna Filipovića 28a, 10000, Zagreb, Croatia |4 aut | |
| 700 | 1 | |a Pečarić |D Josip |u Faculty of Textile Technology and University of Zagreb, Prilaz baruna Filipovića 28a, 10000, Zagreb, Croatia |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 641-655 |x 0001-9054 |q 89:3<641 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-013-0252-4 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-013-0252-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Barbir |D Ana |u Faculty of Civil Engineering and Architecture, Matice rvatske 15, 21 000, Split, Croatia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Himmelreich |D Kristina |u Faculty of Textile Technology and University of Zagreb, Prilaz baruna Filipovića 28a, 10000, Zagreb, Croatia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Pečarić |D Josip |u Faculty of Textile Technology and University of Zagreb, Prilaz baruna Filipovića 28a, 10000, Zagreb, Croatia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 641-655 |x 0001-9054 |q 89:3<641 |1 2015 |2 89 |o 10 | ||