[PDF] Top 20 Ostrowski type inequalities for sets and functions of bounded variation

... level sets L(f ; t) that contain a segment as a connected component is at most countable because each of such level sets contains extremum (see Lemma ... See full document

... of bounded variation if it satisfies the condition of Definition 1 and if in addition f (x, y) is of bounded variation in y ...of bounded variation in y ... 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

... The above result has been naturally extended for absolutely continuous functions and Lebesgue p−norms of the derivative f 0 in [11] – [13] and can be stated as: Theorem 1. Let f : [a, b] → R be absolutely ... See full document

... On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation, ... 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

... exponentially bounded evolution family of bounded linear operators acting on the Banach space X and f : R →X be a locally H¨ older continuous function, ... See full document

... Some inequalities for functions of bounded variation that provide reverses for the inequality between the integral mean and the p−norm for p ∈ [1, ∞] are ... 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

... new Ostrowski-Grüss type inequalities involving multiple inte- rior points with the derivatives bounded by functions in both D and D cases and derived some sharp bounds related to ... 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

... Jensen type and Ostrowski type are obtained by setting x = g dμ and λ = , respectively, in Proposition ...on inequalities for functions with bounded derivatives and applications ... 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

... DRAGOMIR, On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation, Preprint RGMIA Res.. CERONE and S.S.[r] ... See full document

... Further Ostrowski and trapezoid type inequalities for the generalized Riemann-Liouville fractional integrals of functions with bounded variation, RGMIA ...fractional ... See full document

... tiable functions with bounded derivatives to the larger class of functions of bounded variation, the author obtained in 1999 (see [1] or the RGMIA preprint version of [28]) the ... See full document

... [4] N. S. Barnett, P. Cerone, S. S. Dragomir, M. R. Pinheiro,and A. Sofo, Ostrowski type in- equalities for functions whose modulus of the derivatives are convex and applications. In- equality Theory ... See full document

... The constant 1 2 is sharp in the sense that it cannot be replaced by a smaller constant. In [12], the following result complementing the above one was obtained. Theorem 10. Let f, u : [a, b] → R be such that u : [a, b] → ... See full document

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

... an Ostrowski inequality associated with Carnot-Carath´eodory distance in the Grushin ...Hardy type inequalities associated with Carnot-Carath´eodory distance in the Grushin ... See full document