𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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


Some ratio inequalities for iterated sto
✍ Litan Yan 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 193 KB

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 Inverse Type Hilbert Integral I
✍ Chang-Jian Zhao; Lokenath Debnath 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 74 KB

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 pseudo-i
✍ Hamzeh Agahi; Radko Mesiar; Yao Ouyang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 470 KB

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