Displaying 321 – 340 of 880

Showing per page

On Hardy q -inequalities

Lech Maligranda, Ryskul Oinarov, Lars-Erik Persson (2014)

Czechoslovak Mathematical Journal

Some q -analysis variants of Hardy type inequalities of the form 0 b x α - 1 0 x t - α f ( t ) d q t p d q x C 0 b f p ( t ) d q t with sharp constant C are proved and discussed. A similar result with the Riemann-Liouville operator involved is also proved. Finally, it is pointed out that by using these techniques we can also obtain some new discrete Hardy and Copson type inequalities in the classical case.

On Henstock-Kurzweil method to Stratonovich integral

Haifeng Yang, Tin Lam Toh (2016)

Mathematica Bohemica

We use the general Riemann approach to define the Stratonovich integral with respect to Brownian motion. Our new definition of Stratonovich integral encompass the classical Stratonovich integral and more importantly, satisfies the ideal Itô formula without the “tail” term, that is, f ( W t ) = f ( W 0 ) + 0 t f ' ( W s ) d W s . Further, the condition on the integrands in this paper is weaker than the classical one.

Currently displaying 321 – 340 of 880