Popoviciu Type Equations on Cylinders

On Kp-ii Type Equations on Cylinders

In this article we study the generalized dispersion version of the Kadomtsev-Petviashvili II equation, on T × R and T × R. We start by proving bilinear Strichartz type estimates, dependent only on the dimension of the domain but not on the dispersion. Their analogues in terms of Bourgain spaces are then used as the main tool for the proof of bilinear estimates of the nonlinear terms of the equa...

On Popoviciu Type Formulas for Generalized Restricted Partition Function

Suppose that a1(n), a2(n), · · · , as(n),m(n) are integer-valued polynomials in n with positive leading coefficients. This paper presents Popoviciu type formulas for the generalized restricted partition function pA(n)(m(n)) := #{(x1, · · · , xs) ∈ Z s : all x j > 0, x1a1(n) + · · · + xsas(n) = m(n)} when s = 2 or 3. In either case, the formula implies that the function is an integer-valued quas...

Cauchy Means of the Popoviciu Type

Matloob Anwar,1 Naveed Latif,1 and J. Pečarić1, 2 1 Abdus Salam School of Mathematical Sciences, 68-B New Muslim Town, GC University, Lahore 54000, Pakistan 2 Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, Zagreb 10000, Croatia Correspondence should be addressed to Naveed Latif, [email protected] Received 9 October 2008; Accepted 2 February 2009 Recommended by Wing-S...

Hlawka–Popoviciu inequalities on positive definite tensors

Article history: Received 13 November 2014 Accepted 25 August 2015 Available online xxxx Submitted by V. Mehrmann MSC: 15A15 15A39 15A69 46M05 47A63

Several Variants of via Titu Andreescu Type and Popoviciu Type Inequalities