Results 51 to 60 of about 303 (160)
Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities
In this paper, weobtain some new weighted Ostrowski-Grüss type inequalities on time scales. Wealso give some other interesting inequalities as special cases.2010 MathematicsSubject Classifications : 26D15; 26E70.
Adnan Tuna
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On Ostrowski Type Inequalities for Generalized Integral Operators
It is well known that mathematical inequalities have played a very important role in solving both theoretical and practical problems. In this paper, we show some new results related to Ostrowski type inequalities for generalized integral operators.
Martha Paola Cruz +4 more
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Generalization and improvement of Ostrowski type inequalities
The goal of this study to obtain the new generalization of Ostrowski inequality for bounded functions by using new generalized Montgomery identity which is proved. The results presented here would provide extensions of those given in earlier works.
Sarikaya, Mehmet Zeki +1 more
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On inequalities of Jensen-Ostrowski type [PDF]
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Cerone, Pietro +2 more
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Trapezoid Inequality for Operator‐Valued Functions in Hilbert Spaces
Let K;·,· denote a complex Hilbert space, and let LK represent the Banach C∗‐algebra of bounded linear operators acting on K. For any operator A∈LK, the modulus is defined by A:=A∗A12/. The primary contribution of this work is the derivation of the following significant result: Assuming ζ:δ1,δ2⟶C is an integrable function and T:δ1,δ2⟶LK is a strongly ...
Salma Aljawi +4 more
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Ostrowski type inequalities for convex functions
In this paper, we obtain Ostrowski type inequalities for convex functions.
Özdemir, M. Emin +2 more
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In this paper, we established a sharp integral inequality involving the Chebyshev functional and the average of Riemann integrable functions. Our main result furnishes a refined upper bound with the best possible constant, unifying and extending some classical inequalities (Hölder, Cauchy–Schwarz, Ostrowski, trapezoidal, and Simpson).
Mohsen Rostamian Delavar +2 more
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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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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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Nontriviality of rings of integral‐valued polynomials
Abstract Let S$S$ be a subset of Z¯$\overline{\mathbb {Z}}$, the ring of all algebraic integers. A polynomial f∈Q[X]$f \in \mathbb {Q}[X]$ is said to be integral‐valued on S$S$ if f(s)∈Z¯$f(s) \in \overline{\mathbb {Z}}$ for all s∈S$s \in S$. The set IntQ(S,Z¯)${\mathrm{Int}}_{\mathbb{Q}}(S,\bar{\mathbb{Z}})$ of all integral‐valued polynomials on S$S ...
Giulio Peruginelli, Nicholas J. Werner
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