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- Title
Generalized Ostrowski type results for twice differentiable functions on fractal sets.
- Authors
Erden, Samet; Khan, M. Adil; Türk, Funda; Sarıkaya, M. Zeki; Erden, Rumeysa; Sümer, Neslihan
- Abstract
We first obtain a new auxiliary identity by utilizing twice differentiable functions on a-type sets. Afterwards, two generalized Ostrowski type estimations for mappings whose second local fractional derivatives are bounded are derived, and special cases of these comprehensive inequalities are observed. Finally, some related applications such as inequalities including special means and generalized quadrature rules are presented.
- Subjects
DIFFERENTIABLE functions; SET functions; FRACTIONAL integrals; QUADRATURE domains
- Publication
New Trends in Mathematical Sciences, 2023, Vol 11, Issue 3, p1
- ISSN
2147-5520
- Publication type
Article
- DOI
10.20852/ntmsci.2023.500