Let d and k be positive integers. Let μ be a positive Borel measure on R2 possessing moments up to degree 2d − 1. If the support of μ is contained in an algebraic curve of degree k, then we show that there exists a quadrature rule for μ with at most dk many nodes all placed on the curve (and positive weights) that is exact on all polynomials of degree at most 2d − 1. This generalizes both Gauss...

* Correspondence: hassen. [email protected] Institut Supérieur d’Informatique et des Technologies de Communication de Hammam Sousse, Université de Sousse, Route GP1-4011, Hammam Sousse, Tunisie Full list of author information is available at the end of the article Abstract In this article, we present tripled coincidence point theorems for F: X ® X and g: X ® X satisfying weak -contractions in p...

In this paper we investigate the behaviour of weighted maximal operators Marcinkiewicz type (C,?)-means ??,* p (f) := supn?P |??n(f)|/ n2/p?(2+?) in Hardy space Hp(G2) (0 < ? 1 and 2/(2 + ?)). It is showed that are bounded from dyadic to Lebesgue Lp(G2), a sense sharp. was also proved strong convergence theorem for (C, ?) means Walsh-Fourier series Hp(G2).

The notion of a generalized convex space we work with in this paper was introduced by Park and Kim in [10]. In generalized convex spaces, many results on fixed points, coincidence points, equilibrium problems, variational inequalities, continuous selections, saddle points, and others have been obtained, see, for example, [6, 8, 10–13]. In this paper, we obtain an almost coincidence point theore...

A new class of multivalent holomorphic functions with complex order in terms of subordination is introduced. We find some properties of this class like, sufficient coefficient bound, integral operator and Feketo-Szego problem. AMS Mathematics Subject Classification (2000): Primary 30C45; Secondary 30C80

In the present paper we find a new interpretation of Narayana polynomials Nn(x) which are the generating polynomials for the Narayana numbers Nn,k = 1 n C k−1 n C k n where C i j stands for the usual binomial coefficient, i.e. C j = j! i!(j−i)! . They count Dyck paths of length n and with exactly k peaks, see e.g. [13] and they appeared recently in a number of different combinatorial situations...

We proved a random coincidence point theorem for a pair of commuting random operators in the setup of Fréchet spaces. As applications, we obtained random fixed point and best approximation results for ∗-nonexpansive multivalued maps. Our results are generalizations or stochastic versions of the corresponding results of Shahzad and Latif [Shahzad, N.; Latif, A. A random coincidence point theorem...

[1] Recent advances in our knowledge of the earth geoid have made it possible to exploit absolute sea surface height measurements in realistic numerical modelling studies of the ocean. This letter provides evidence of the benefit of the GRACE referenced mean dynamic topography (MDT) for the simulation of the tropical Pacific ocean through the joint assimilation of altimetric data and of vertica...