[PDF] Top 20 New Jensen and Ostrowski type inequalities for general Lebesgue integral with applications

... Making use of (4.16) and (4.17) we deduce the desired result (4.13). Corollary 4.10. Let Φ : I → R be an absolutely continuous functions on [a, b] ⊂ ˚ I, with the property that the derivative Φ 0 is (l, L)-Lipschitzian ... See full document

... trapezium, Ostrowski and Simpson type generalized integral inequalities for generalized m-convex functions with respect to another ...Some applications to special means and new ... See full document

... and Liu, W., (2016), New weighted ˇ Cebyˇ sev-Ostrowski type integral inequalities on time scales, Journal of Mathematical Inequalities, volume 10, number 2, pp. He completed his Master [r] ... See full document

... [2] N. S. Barnett, W.-S. Cheung, S. S. Dragomir and A. Sofo, Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators, Comput. Math. ... See full document

... some new Ostrowski type integral inequalities on time scales involving functions of two independent variables for k 2 points, which on one hand unify continuous and discrete analysis, ... See full document

... Bihari type inequalities with abstract Lebesgue ...get new facts about the nature of Bihari type inequalities even in the finite dimensional environment; the results can be ... See full document

... Two integral inequalities of Ostrowski type for the Stieltjes inte- gral are ...integrators. Applications for the mid-point inequality that are useful in the numerical analysis of ... See full document

... of integral inequalities is an important research subject in mathematical ...These inequalities have many applications in differential equations, probability theory and statistical problems, ... See full document

... We present some fundamental results and definitions regarding Jensen’s inequality with the aim of obtaining new generalizations of cyclic refinements of Jensen’s inequality from convex to higher order convex ... See full document

... in general, referred to as Gronwall type inequalities ...These inequalities provide necessary tools in the study of the theory of differential equations, integral equations, and ... See full document

... The inequalities are important in many ...to inequalities include Jensen type inequalities [1], the general varia- tional inequality problem [2], delay integral ... See full document

... various Lebesgue spaces. Further, the new bounds have been carried out by implementing weighted and non-weighted Peano ...derived. Applications in both numerical integration and probability are also ... See full document

... of 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 ... See full document

... 3: inequalities with bounds involving the p-norms (1 ≤ p ≤ ∞), in- equalities for functions with further assumptions of bounded (n + 1)-th derivatives, and inequalities for functions where the absolute ... See full document

... trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators, Preprint, RGMIA ...S. New bounds for the three-point rule involving the Riemann- Stieltjes ... 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 ...their ... See full document

... Steffensen’s inequality (1.1) happens to be the most basic inequality which deals with the comparison between integrals over a whole interval [a, b] and integrals over a subset of [a, b]. In fact, the inequality (1.1) ... See full document

... By introducing multiparameters and conjugate exponents and using Hadamard’s inequality and the way of real analysis, we estimate the weight coefficients and give a multiple more accurate Hilbert’s inequality, which is an ... See full document

... Rassias (Ed.), Ostrowski Type Inequalities and Applications in Numerical Integration, Kluwer Academic Publishers, Dordrecht, 2002.. [4] S.S.[r] ... See full document

... convexity type is studied. In addition, some new Hermite-Hadamard type inequalities for B −1 -convex functions involving Riemann-Liouville type integral operators that are more ... See full document