Results 31 to 40 of about 1,029 (208)
A modified class of Ostrowski-type inequalities and error bounds of Hermite–Hadamard inequalities
This paper aims to extend the application of the Ostrowski inequality, a crucial tool for figuring out the error bounds of various numerical quadrature rules, including Simpson’s, trapezoidal, and midpoint rules.
Miguel Vivas-Cortez +4 more
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A NOTE ON OSTROWSKI TYPE INEQUALITIES
Summary: In the present note we establish two new integral inequalities of the Ostrowski type involving a function of one independent variable. The discrete analogues of the main results are also given.
openaire +2 more sources
This study proves numerous novel Ostrowski‐type inequalities for nabla‐α differentiable functions by employing the α‐conformable fractional calculus on time scales. Generalized forms of Grüss and trapezoid‐type inequalities are also obtained for single‐variate functions with bounded second‐order nabla‐α derivatives.
Khuram Ali Khan +5 more
wiley +1 more source
Some Ostrowski type inequalities
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been
Muhammad Bilal Ahmed +4 more
wiley +1 more source
On Ostrowski Type Inequalities for Stieltjes Integrals with Absolutely Continuous Integrands and Integrators of Bounded Variation [PDF]
Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when |f'| is convex is explored.
Cheung, Wing Sum +2 more
core
Ostrowski-Sugeno fuzzy inequalities
We present Ostrowski-Sugeno fuzzy type inequalities. These are Ostrowski-like inequalities in the context of Sugeno fuzzy integral and its special properties are investigated.
George A. Anastassiou
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Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity
In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran +6 more
wiley +1 more source
Better Bounds in Some Ostrowski-Grüss Type Inequalities [PDF]
The main aim of this note is to point out some improvements of the recent results in Generalisations of some inequalities of Ostrowski-Grüss type, Math. Ineq.
Dragomir, Sever S
core
More General Ostrowski-Type Inequalities in the Fuzzy Context
In this study, Ostrowski-type inequalities in fuzzy settings were investigated. A detailed theory of fuzzy analysis is provided and utilized to establish the Ostrowski-type inequality in the fuzzy number-valued space.
Muhammad Amer Latif
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