Ostrowski Type Inequalities for Higher-Order Derivatives
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Mingjin Wang, Xilai Zhao
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Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals
In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional p,q‐calculus on finite intervals. Then, some new Pólya–Szegö–type p,q‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results ...
Xiaohong Zuo +2 more
wiley +1 more source
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 Ostrowski Type via Pompeiu's Mean Value Theorem
An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are ...
Dragomir, Sever Silvestru
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Weighted Version of Multivariate Ostrowski Type Inequalities
We establish two weighted integral identities and use them to prove a number of inequalities of Ostrowski type for functions of several variables. The results in the paper extend some known results of Pečarić and Savić as well as some recent results of Anastassiou.
Matić, M., Pečarić, J., Ujević, N.
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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
Perturbations of an Ostrowski type inequality and applications
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds.
Nenad Ujević
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Inequalities of Ostrowski Type in Two Dimensions [PDF]
A weighted version of Ostrowski type inequality in two dimensions is established. An ordinary generalization of Ostrowski's inequality in two dimensions and a corresponding Ostrowski-Grüss inequality are also derived.
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Some Ostrowski Type Inequalites via Cauchy's Mean Value Theorem
Some Ostrowski type inequalities via Cauchy's mean value theorem and applications for certain particular instances of functions are ...
Dragomir, Sever Silvestru
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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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