[PDF] Top 20 Some improvements of Minkowski’s integral inequality on time scales

... a time scale, a, b ∈ T with a < b and an interval [a, b] means the intersection of a real interval with the given time ...a time scale T, we mean an arbitrary nonempty closed subset of real ... See full document

... review some necessary definitions and the calculus on time ...Hermite-Hadamard inequality. Some improvements and applications are presented in Section 4, together with an extension of ... See full document

... Hölder’s inequality on time scales via diamond integral, which is defined as an ‘approximate’ symmetric integral on time ...give some generalizations of diamond ... See full document

... explored some new types of integral inequalities and presented his results through an analytic approach and mathematical ...introduced some parameters and imposed sufficient conditions so that Qi type ... See full document

... From that time, some generalizations of the Beckenbach-Dresher inequality (.) and (.) have appeared. Here, we refer to the papers of Pečarić and Beesack [], Petree and Persson [], Persson [] , ... See full document

... of integral equations, the fact cannot be denied that Gronwall–Bellman inequality, Bihari inequality, and their various generalizations play a pivotal role in providing precise bounds of dif- ... See full document

... investigate some delay integral inequalities on time scales by using Gronwall’s inequality and comparison ...extend some delay integral inequalities and their ... See full document

... 12. Tian, J.F., Ha, M.H.: Properties of generalized sharp Hölder’s inequalities. J. Math. Inequal. 11, 511–525 (2017) 13. Zhao, C., Cheung, W.: Hölder’s reverse inequality and its applications. Publ. L. Math. 99, ... See full document

... establish some generalizations and refinements of the Hölder inequality on time scales via the diamond- α dynamic integral, which is defined as a linear combination of the delta and nabla ... See full document

... The inequality on time scale was introduced by Hilger [8] in order to unify discrete and continuous ...a time scale is an arbitrary non empty closed subset of real ...time scales. ... See full document

... Thus f is diamond-α di ff erentiable if and only if f is Δ and ∇ di ff erentiable. The diamond-α derivative reduces to the standard Δ derivative for α = 1, or the standard ∇ derivative for α = 0. On the other hand, it ... See full document

... on time scales have recently received considerable ...on time scales. We prove a generalized version of Jensen’s inequality on time scales via the diamond-α ... See full document

... An extension of inequality 1.2 was formulated by Ingham and Jessen see 2, pages 31-32. In 1948, T ˆoyama 4 published a converse of the inequality of Ingham and Jessen see also a recent paper 5 for a ... See full document

... certain dynamic equations on time scales. From the corollaries in Section , one can see the established inequalities unify continuous and discrete analysis. Finally, we note that the process of Theorems ... See full document

... and integral equations, it is becoming extremely difficult to ignore the existence of integral inequalities which help to determine of bounds on unknown ...Gronwall inequality has been extended and ... See full document

... on time scales, the paper contributes to the theory of time scales, more specifically, for the integration on time ...Aumann integral on time scales is added to ... See full document

... in some sense, the Choquet integral ia a kind of fuzzy ...Sugeno integral [6], the Choquet integral is a real generalization of the Lebesgue ...Choquet integral coincides with the ... See full document

... terms of x , p and deformation parameter a. For the non-commutative space time with curvature. Let us construct it as functions of x , p and deformation parameter . In case of neutral particles , conjugate momenta ... See full document

... A weighted interpolation of Jensen’s integral inequality and some applications for Hadamard’s inequality are given1. Some particular examples are also examined.[r] ... See full document

... Brunn- Minkowski inequality and p- Minkowski inequality on the p- Aleksandrov body are ...Furthermore, some pertinent results concerning the Aleksandrov body and the p- Aleksandrov body ... See full document