Article detail · 2020 · article
Ostrowski type inequalities via the Katugampola fractional integrals
Data source split
- YÖKSİSYÖKSİS article record
- YÖKSİS venueAIMS Mathematics
- Catalog match (ISSN)AIMS Mathematics
- OpenAlexOpenAlex enrichment (abstract, citations, topics)
- Semantic Scholarcitation count (not merged with OpenAlex)
Abstract
The main aim of this study is to reveal new generalized-Ostrowski-type inequalities using Katugampola fractional integral operator which generalizes Riemann-Liouville and Hadamard fractional integral operators into a single form. For this purpose, at first, a new fractional integral identity is generated by the researchers. Then, by using this identity, some inequalities for the class of functions whose certain powers of absolute values of derivatives are $p-$convex are derived. Some applications to special means for positive real numbers are also given. It is observed that the obtained inequalities are generalizations of some well known results.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
30citationsOpenAlex · cited_by_count (cache / database)
10 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- 2021 On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integralsCitations 61 · OpenAlex
- 2021 On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integralsCitations 61 · OpenAlex
- 2021 On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integralsCitations 61 · OpenAlex
- 2020 Quantum Montgomery identity and quantum estimates of Ostrowski type inequalitiesCitations 20 · OpenAlex
- 2023 On the Generalization of Ostrowski-Type Integral Inequalities via Fractional Integral Operators with Application to Error BoundsCitations 12 · OpenAlex
- 2021 Some generalized fractional trapezoid and Ostrowski type inequalities for functions with bounded partial derivativesCitations 4 · OpenAlex
- 2021 On Some New Fractional Ostrowski- and Trapezoid-Type Inequalities for Functions of Bounded Variations with Two VariablesCitations 3 · OpenAlex
- 2025 Remarks on inequalities with parameter by conformable fractional integralsCitations 2 · OpenAlex
- 2025 Some inequalities for conformable fractional integrals by using a parameterCitations 0 · OpenAlex
- 2025 A Study on Fractional Integral Inequalities for Trigonometric and Exponential Trigonometric-convex FunctionsCitations 0 · OpenAlex