논문KCI 등재
SOME NEW ČEBYŠEV TYPE INEQUALITIES
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Some new Čebyšev type inequalities have been developed by working on functions whose first derivatives are absolutely continuous and the second derivatives belong to the usual Lebesgue space L∞ [a, b] . A unified treatment of the special cases is also given.
Abstract
Some new Čebyšev type inequalities have been developed by working on functions whose first derivatives are absolutely continuous and the second derivatives belong to the usual Lebesgue space L∞ [a, b] . A unified treatment of the special cases is also given.
참고문헌 (6)
- P. Cerone, "Generalisations of the Grüss, Chebychev and Lupaş inequalities for integrals over different intervals", Int. J. Appl. Math., 6(2), pp.117~128 (2001)
- P. Cerone, "New bounds for the Čebyčev functional", Appl. Math. Lett., 18(6), pp.603~611 (2005)
- Z. Liu, "Generalizations of some new Čebyšev type inequalities", J. Inequal. Pure Appl. Math., 8(1), pp.6~ (2007)
- D. S. Mitrinović, "Classical and New Inequalities in Analysis, Mathematics and its Applications (East European Series), 61" (1993), Kluwer Academic Publishers Group
- B. G. Pachpatte, "On Ostrowski-Grüss- Čeby šev type inequalities for functions whose modulus of derivatives are convex", J. Inequal. Pure Appl. Math., 6(4), pp.15~ (2005)
- B. G. Pachpatte, "New Čebyšev type inequalities via trapezoidal-like rules", J. Inequal. Pure Appl. Math., 7(1), pp.6~ (2006)
관련 논문AI추천
NEW WEIGHTED OSTROWSKI-GRUSS-CEBYSEV TYPE INEQUALITIESWen-jun Liu, Xing-xia Pan, Yu Huang대한수학회 · 대한수학회보2008 · 제45권 제3호New bounds for the Ostrowski-like type inequalitiesQuoc Anh Ngo, Vu Nhat Huy대한수학회 · 대한수학회보2011 · 제48권 제1호Further Results on Chebyshev and Steffensen InequalitiesMohamed Doubbi Bounoua, Zoubir Dahmani경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제1호ON OPIAL INEQUALITIES INVOLVING HIGHER ORDER DERIVATIVESChang-Jian Zhao, Wing-Sum Cheung대한수학회 · 대한수학회보2012 · 제49권 제6호Ostrowski's Type Inequalities for (α,m)-Convex FunctionsErhan Set, Havva KavurmacI, Muhamet Emin Ozdemir경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제3호On a New Ostrowski-Type Inequality and Related ResultsErhan Set, Mehmet Zeki Sarikaya경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제4호
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