Open AccessSome perturbed inequalities of Ostrowski type for twice differentiable functions
Author(s) -
Samet Erden,
AUTHOR_ID,
Hüseyın Budak,
Mehmet Zeki Sarıkaya,
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AUTHOR_ID
Publication year - 2021
Publication title -
mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.294
H-Index - 6
eISSN - 2601-744X
pISSN - 1222-9016
DOI - 10.24193/mathcluj.2021.2.09
Subject(s) - mathematics , differentiable function , inequality , type (biology) , pure mathematics , bounded variation , bounded function , mathematical analysis , absolute continuity , ecology , biology
We establish new perturbed Ostrowski type inequalities for functions whose second derivatives are of bounded variation. In addition, we obtain some integral inequalities for absolutely continuous mappings. Finally, some inequalities related to Lipschitzian derivatives are given.