Results 31 to 40 of about 583 (211)
On Chebyshev Functional and Ostrowski-Grus Type Inequalities for Two Coordinates
International Journal of Analysis and Applications, 2016 In this paper, we construct Chebyshev functional and Gruss inequality on two coordinates. Also we establish Ostrowski-Gruss type inequality on two coordinates. Related mean value theorems of Lagrange and Cauchy type are also given.
Atiq Ur Rehman, Ghulam Farid
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A modified class of Ostrowski-type inequalities and error bounds of Hermite–Hadamard inequalities
Journal of Inequalities and Applications, 2023 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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Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.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
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Some Ostrowski type inequalities
Mathematical and Computer Modelling, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.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
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Ostrowski Via a Two Functions Pompeiu's Inequality
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, some generalizations of Pompeiu's inequality for two complex-valued absolutely continuous functions are provided. They are applied to obtain some new Ostrowski type results.
Dragomir Silvestru Sever
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Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.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
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Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Open Mathematics, 2018 In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
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General Opial Type Inequality and New Green Functions
Axioms, 2022 In this paper we provide many new results involving Opial type inequalities. We consider two functions—one is convex and the other is concave—and prove a new general inequality on a measure space (Ω,Σ,μ).
Ana Gudelj +2 more
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THE BEST CONSTANT IN AN INEQUALITY OF OSTROWSKI TYPE
Tamkang Journal of Mathematics, 1999 We prove the constant $\frac{1}{2}$ in Dragomir-Wang's inequality [2] is best.
Peachey, Tom +2 more
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