Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip +2 more
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An Inequality of the Ostrowski Type For Double Integrals and Applications for Cubature Formulae
We point out a new inequality of the Ostrowski type for mappings of two independent variables, which complements, in a sense, some recent results and apply it to the approximation problem of double integrals by their Riemann ...
Roumeliotis, John +3 more
core
A comprehensive study on Ostrowski-type inequalities: multiplicative conformable fractional integrals approach [PDF]
In this paper, we first recall the concept o f the multiplicative conformable fractional integrals (MCFI) and their several properties. Then, we establish the Ostrowski type inequalities in two distinct senses for multiplicative conformable fractional ...
Büşra Betül Ergün, Hüseyin Budak
doaj
An Ostrowski Type Inequality for Double Integrals and Applications for Cubature Formulae
An inequality of the Ostrowski type for double integrals and applications in Numerical Analysis in connection with cubature formulae are ...
Dragomir, Sever S, Barnett, Neil S
core
Ostrowski Type Inequality for Double Integrals on Time Scales [PDF]
We prove the Ostrowski type inequality for double integrals on time scales and thus unify corresponding continuous and discrete versions from the literature.
Yildirim, Hueseyin, Ozkan, Umut Mutlu
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Ostrowski-type inequalities for strongly convex functions
Abstract In this paper, we establish Ostrowski-type inequalities for strongly convex functions, by using some classical inequalities and elementary analysis. We also give some results for the product of two strongly convex functions.
Set, Erhan +3 more
openaire +4 more sources
In this paper we derive a new integral inequality of Ostrowski-Grüss type and apply it to estimate the error bounds for some numerical quadrature ...
Roumeliotis, John +2 more
core
An Ostrowski Type Inequality for Weighted Mappings with Bounded Second Derivatives
A weighted integral inequality of Ostrowski type for mappings whose second derivatives are bounded is proved.
Roumeliotis, John +2 more
core
A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications
The main purpose of this paper is to derive some new generalizations of weighted Ostrowski type inequalities. The new established inequalities are carried out for a twice differentiable mapping in different L p spaces.
Waseem Ghazi Alshanti
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RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory
In the presented paper, Levinson’s inequality for 3-convex function is generalized by using two Green’s functions. Čebyšev, Grüss, and Ostrowski-type new bounds are found for the functionals involving data points of two types.
Muhammad Adeel +3 more
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