The inequalities for some types of -integrals
✍ Scribed by Sladjana Marinković; Predrag Rajković; Miomir Stanković
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 293 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
✦ Synopsis
Using the restriction of the q-integral over [a, b] to a finite sum and q-integral of Riemann-type, we establish new integral inequalities of q-Chebyshev type, q-Grüss type, q-Hermite-Hadamard type and Cauchy-Buniakowsky type. Some inequalities which include the boundaries of functions are also indicated.
📜 SIMILAR VOLUMES
Let X = (Xt, Ft) be a continuous local martingale with quadratic variation X and X0 = 0. Define iterated stochastic integrals In(X) = (In(t, X), Ft) , n ≥ 0, inductively by In(t, X
Some new generalizations of Hilbert's type integral inequalities are proved. The results of this paper reduce to those of B.
Chebyshev type inequalities for two classes of pseudo-integrals are shown. One of them concerning the pseudo-integrals based on a function reduces on the g-integral where pseudo-operations are defined by a monotone and continuous function g. Another one concerns the pseudo-integrals based on a semir