[PDF] Top 20 An Ostrowski Type Inequality for Weighted Mappings with Bounded Second Derivatives

... mid-point type rules and it is anticipated that developing other product rules, for example a generalized trapezoidal or Simpsons rule, will yield more accurate ... See full document

... WANG, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl. WANG A new inequality of Ostrowski's type[r] ... See full document

... the mappings and their derivatives in various Lebesgue ...implementing weighted and non-weighted Peano kernel. Several weighted and non- weighted versions of ...a weighted ... See full document

... new Ostrowski-Grüss type inequalities involving multiple interior points with the first-order derivative bounded by functions instead of constants, some of which provide sharp ...2D ... See full document

... 1938, Ostrowski first proclaimed his inequality for dif- ferentiable ...Newton-Cotes type quadrature rules have been examined ...of bounded derivatives of degree greater than ... See full document

... In 1976, G.V. Milovanovi´ c and J.E. Pe˘ cari´ c proved a generalization of Os- trowski’s inequality for n-time differentiable mappings (see for example [2, p.468] ) from which we would like to mention only ... See full document

... of Ostrowski-type inequality ...the weighted Peano kernels, we obtain generalization to the ...in second section we have stated our main result by introducing weights in ... See full document

... Alomari, A Generalization of weighted companion of Ostrowski integral inequality for mappings of bounded variation , RGMIA Research Report Collection, 14(2011), Art.. Alomari and M.A.[r] ... See full document

... Dragomir, A generalization of Ostrowski’s integral inequality for mappings with bounded variation and applications in numerical integration, Bull.. Soc ., accepted.[r] ... See full document

... whose second derivatives are bounded as special cases, such as perturbed rectangle inequality on time scales, perturbed trapezoid inequality on time scales, perturbed mid-point ... See full document

... Ostrowski’s inequality for absolutely continuous ...bounded mappings. In [], Liu established some companions of an Ostrowski-type integral inequality for functions whose first ... See full document

... for Ostrowski type inequalities, depending on the second derivatives, are stated in this ...[11], Weighted Ostrowski type inequalities for the second derivative of ... See full document

... Math. DRAGOMIR, The Ostrowski integral inequality for mappings of bounded variation, Bull. DRAGOMIR, On the Ostrowski’s integral inequality for mappings with bounded varia- tion and appl[r] ... See full document

... Qayyum, Improvement in companion of Ostrowski type inequalities for mappings whose first derivatives are of bounded variation and application, RGMIA Research Report Collection, 19 (2016)[r] ... See full document

... We assume the weight function (or density) w : (a, b) – → [, ∞ ) to be non-negative and integrable over its entire domain and consider a b w(t)dt < ∞ . We denote the moments to be m, M and σ and define them as ... See full document

... S.S. DRAGOMIR AND N.S. An integral inequality of Ostrowski’s type for mappings whose second derivatives are bounded is proved. Applications in Numerical Integration and for special means[r] ... See full document

... integral inequality which estab- lishes a connection between the integral of the product of two functions and the product of the integrals of the two functions is well known in literature as Gr¨ uss’ ... See full document

... Abstract. In this paper, generalizations of weighted Ostrowski inequality are derived by using moment generating functions in bounded variation, L ∞ and L p spaces. Applications to compo[r] ... See full document

... of bounded variation that provide reverses for the inequality between the integral mean and the p−norm for p ∈ [1, ∞] are ...Landau inequality between the norms of the derivatives of a ... See full document

... Pachpatte, “On an inequality of Ostrowski type in three independent variables,” Journal of Mathematical Analysis and Applications, vol.. Pachpatte, “On a new Ostrowski type inequality in[r] ... See full document