Results 21 to 30 of about 93 (89)
On the Ostrowski generalization of C̆ebyšev's inequality
Journal of Mathematical Analysis and Applications, 1984 The author states the following generalization of inequalities of \textit{A. M. Ostrowski} [Aequationes Math. 4, 358-373 (1970; Zbl 0198.081)]. Let f,g be differentiable, monotonic in the same sense, p integrable, and \((A)\quad 0\leq \int^{x}_{a}p(t)dt\leq \int^{b}_{a}p(t)dt,\) \((B)\quad | f'(x)| \geq m,\quad | g'(x)| \geq r\) on \([a,b].\) Then ...
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Journal of Numerical Analysis and Approximation Theory, 2003 An inequality of the Ostrowski type for double integrals and applications in Numerical Analysis in connection with cubature formulae are given.
S.S. Dragomir, N.S. Barnett, P. Cerone
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Refined Hardy‐Type Inequalities Involving New Green Functions and Montgomery Identity
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Some Hardy‐type inequalities are established in the paper by the suitable combinations of new Green functions on time scales, which are furthermore extended with the help of generalized Montgomery identity involving Taylor formula on time scales. Bounds of Grüss‐ and Ostrowski‐type inequalities related to these Hardy‐type inequalities on time scales ...
Ammara Nosheen +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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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper develops a family of Hermite–Hadamard–Mercer‐type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order parameter, we derive refined two‐sided bounds for coordinated convex functions that incorporate ...
Jen Chieh Lo, Mohammad Rezwan Habib
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A probabilistic version of Ostrowski inequality
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Ostrowski type inequalities
Fasciculi Mathematici, 2016 AbstractIn this paper, new forms of Ostrowski type inequalities are established for a general class of fractional integral operators. The main results are used to derive Ostrowski type inequalities involving the familiar Riemann-Liouville fractional integral operators and other important integral operators.
Agarwal, Ravi P. +2 more
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Inequalities for Beta and Gamma functions via some classical and new integral inequalities
Journal of Inequalities and Applications, 2000 In this survey paper we present the natural applications of certain integral inequalities such as Chebychev's inequality for synchronous and asynchronous mappings, Hölder's inequality and Grüss' and Ostrowski's inequalities for the celebrated ...
Agarwal RP, Dragomir SS, Barnett NS
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Properties and Applications of Symmetric Quantum Calculus
Fractal and FractionalSymmetric derivatives and integrals are extensively studied to overcome the limitations of classical derivatives and integral operators. In the current investigation, we explore the quantum symmetric derivatives on finite intervals.
Miguel Vivas-Cortez +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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