[PDF] Top 20 A General Ostrowski Type Inequality for Double Integrals

... Here, the constant 1 4 is sharp in the sense that it cannot be replaced by a smaller constant. We also observe that the tightest bound is obtained at x = a+b 2 , resulting in the well-known mid-point inequality. ... See full document

... integral inequality that establishes a connection be- tween the integral of the product of two functions and the product of the integrals is known in the literature as the Gr¨ uss inequality (see for ... See full document

... In [9], M. Mati´ c and J. Peˇ cari´ c gave a two-point Ostrowski type inequality, as a generalization of (1.3), by replacing the condition of differentiability of f and boundedness of f 0 on (a, b) ... See full document

... the Ostrowski inequality for con- formable fractional integral, present several Ostrowski type inequalities involving the con- formable fractional integrals, and provide the ... See full document

... the Ostrowski type inequality which has been pointed out in [14] to general convex functions defined on linear ...Hermite-Hadamard type inequalities for convex functions on linear ... See full document

... other Ostrowski type inequalities for mappings of bounded variation, mono- tonic or Lipschitzian, or generalisations for n − time differentiable mappings, see the book [1], the paper [2] by ... See full document

... [4] S. S. Dragomir, P. Cerone, and J. Roumeliotis, A new generalization of Ostrowski’s integral inequality for mappings whose derivatives are bounded and applications in numeri- cal integration and for special ... See full document

... fact Ostrowski inequality plays a vital role while studying the error bounds of different numerical quadrature rules for example mid point’s, trapezoidal’s, Simpson’s and other generalized Riemann ... See full document

... McAndrew, On trapezoid inequality via a Griiss type result and applications, accepted in Tamkang J. Wang, The unified treatment of trapezoid, Simpson and Ostrowski type inequality f[r] ... See full document

... Note that equations (5.3) and (5.4) are quite general in nature and only rely on the weight insofar as knowledge of the first two moments is required. This contrasts with Gaussian quadrature where for an n point ... See full document

... [3] P. Cerone, W. S. Cheung and S. S. Dragomir, On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation, Comput. Math. Appl. ... See full document

... Ostrowski inequality has applications in numerical integration, probability and opti- mization theory, stochastic, statistics, information and integral operator ...of Ostrowski inequalities and their ... See full document

...  (2) which is called the ˇ Cebysev functional, provided the integrals in (2) exist. In recent years many researchers have given the generalization of ˇ Cebysev type inequalities, we can mention the works ... See full document

... Chalco-Cano, “A convolution type inequality for fuzzy integrals,” Applied Mathematics and Computation, vol.. Sadarangani, “A Cauchy-Schwarz type inequality for fuzzy integrals,” Nonlinea[r] ... See full document

... integral inequality of Ostrowski’s type for mappings whose second derivatives are ...Ostrowski’s type inequality using weight function which generalizes the inequality in ...Ostrowski’s ... See full document

... CERONE, An Ostrowski type inequality for double integrals in terms of L p -norms and applications in numerical integration, Anal.. BARNETT and S.S[r] ... See full document

... S. 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 pro[r] ... See full document

... WANG, An inequality of Ostrowski-Gr¨ uss’ type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Computers Math. WANG[r] ... See full document

... an inequality in the view ...for Ostrowski type inequalities in several independent variables and for recent weighted version of these type inequalities see [1], [2], [9] and ... See full document

... Math 55 Double Integrals over General Regions.[r] ... See full document