Two-Point Ostrowski’s Inequality
| Autor: | Mohammad Alomari |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Inequality Applied Mathematics media_common.quotation_subject 010102 general mathematics Mathematical analysis Mathematics::Classical Analysis and ODEs Type (model theory) Lipschitz continuity 01 natural sciences 010101 applied mathematics Mathematics (miscellaneous) Bounded function Point (geometry) 0101 mathematics Mathematics Ostrowski's theorem media_common |
| Zdroj: | Results in Mathematics. 72:1499-1523 |
| ISSN: | 1420-9012 1422-6383 |
| DOI: | 10.1007/s00025-017-0720-6 |
| Popis: | In this work, a general two-point Ostrowski’s formula from an analytic point of view is presented. New triangle type inequalities for Riemann–Stieltjes integrals are established. Sharp two-point Ostrowski’s type inequalities for functions of bounded p-variation and functions satisfy Lipschitz condition involving $$L^p$$ -bounds $$(1\le p \le \infty )$$ are proved. Some sharp inequalities ramified from the presented inequalities are also obtained. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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