Results 21 to 30 of about 222 (166)
Ostrowski type inequalities on H-type groups
Journal of Mathematical Analysis and Applications, 2010 The classical Ostrowski inequality which states that for any \(f\in C^1[a,b]\) and any \(x\in [a,b]\), \[ \Big|f(x) - \frac 1{b-a} \int_a^b f(t)dt\Big| \leq \Bigg[\frac 14 + \frac{(x-\frac{a+b}2)^2}{(b-a)^2}\Bigg](b-a) \|f'\|_\infty \] is generalized to the context of \(H\)-groups, and an inequality with best possible constant is obtained.
Lian, Bao-Sheng, Yang, Qiao-Hua
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Two-Point Fuzzy Ostrowski Type Inequalities
International Journal of Analysis and Applications, 2013 Two-point fuzzy Ostrowski type inequalities are proved for fuzzy Hölder and fuzzy differentiable functions. The two-point fuzzy Ostrowski type inequality for M-lipshitzian mappings is also obtained.
Muhammad Amer Latif, Sabir Hussain
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On Weighted Montgomery Identity for k Points and Its Associates on Time Scales
Abstract and Applied Analysis, 2017 The purpose of this paper is to establish a weighted Montgomery identity for k points and then use this identity to prove a new weighted Ostrowski type inequality.
Eze R. Nwaeze, Ana M. Tameru
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Weighted Ostrowski type inequalities for functions with one point of nondifferentiability
Arab Journal of Mathematical Sciences, 2014 We present a weighted generalization involving derivatives of arbitrary order of the recently obtained Ostrowski type inequality for functions with one point of nondifferentiability.
A. Aglić Aljinović +2 more
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More General Ostrowski-Type Inequalities in the Fuzzy Context
MathematicsIn 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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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
wiley +1 more source
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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Journal of Mathematics, Volume 2026, Issue 1, 2026.This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous +5 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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