A General Ostrowski Type Inequality for Double Integrals [PDF]
, 2000 Some generalisations of an Ostrowski Type Inequality in two dimensions for n-time differentiable mappings are given. The result is an Integral Inequality with bounded n-time derivatives.
Hanna, George T +2 more
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Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces [PDF]
, 2007 An Ostrowski type inequality is developed for estimating the devi- ation of the integral mean of an absolutely continuous function and the linear combination of its values at k + 1 partition points on a segment in (real) linear spaces. Some particular
Dragomir, Sever S +2 more
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The Unified Treatment of Trapezoid, Simpson and Ostrowski Type Inequality for Monotonic Mappings and Applications [PDF]
, 1998 We give new trapezoid inequality as well as Simpson and Ostrowski type inequalities for monotonic functions.
Pecaric, Josep +2 more
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An Ostrowski Type Inequality for Convex Functions [PDF]
, 2002 An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf’s and (HH ...
Dragomir, Sever S
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A Generalization of Ostrowski Integral Inequality for Mappings Whose Derivatives Belong to L₁ [a,b] and Applications in Numerical Integration [PDF]
, 1999 A generalization of Ostrowski integral inequality for mappings whose derivatives belong to L₁[a,b], and applications for general quadrature formulae are ...
Dragomir, Sever S
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Generalized Ostrowski-Gruss Like Inequality on Time Scales [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we present a generalization of the Montgomery Identity to various time scale versions, including the discrete case, continuous case, and the case of quantum calculus.
Faraz Mehmood +2 more
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An Inequality of the Ostrowski Type For Double Integrals and Applications for Cubature Formulae [PDF]
, 1999 We point out a new inequality of the Ostrowski type for mappings of two independent variables, which complements, in a sense, some recent results and apply it to the approximation problem of double integrals by their Riemann ...
Roumeliotis, John +3 more
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An Application of Hayashi’s Inequality for Differentiable Functions
Mathematics, 2022 In this work, we offer new applications of Hayashi’s inequality for differentiable functions by proving new error estimates of the Ostrowski- and trapezoid-type quadrature rules.
Mohammad W. Alomari +1 more
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On some new generalizations of Ostrowski integral inequality
International Journal of Mathematics and Mathematical Sciences, 2002 Some new generalizations of Ostrowski integral inequality on multivariate are given.
Lü Zhongxue, Xie Hongzheng
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Extended Jensen’s functional for diamond integral via Green’s function and Hermite polynomial
Journal of Inequalities and Applications, 2022 In this paper, with the help of Green’s function and Hermite interpolating polynomial, an extension of Jensen’s functional for n-convex functions is deduced from Jensen’s inequality involving diamond integrals.
Fazilat Bibi +3 more
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