The polynomial approximants which retain the zero free property of a given analytic functions in the unit disk of the form (...). The convolution methods of a geometric functions that the Cesaro means of order μ retains the zero free property of the derivatives of bounded convex functions in the unit disk are used. Other properties are established.
In this paper, we study some properties of functions with strongly α-closed graphs by utilizing α -open sets and the α -closure operator.
Le but du notre travail este de généraliser pour une structure floue minimale le concept de fonction presque contre-continue introduit dans la Topologie générale par Takashi Noiri et Valeriu Popa. Les plus importants résultats sont les théorèmes de caractérisations et les liaisons entre les différentes forme de presque contre-continuité et de faible continuité.
This note deals with Markov-Kakutani's fixed point theorem in respect of compact p-star shaped subset of a topological vector space. In fact, it will be proved that every commutative family of continuous p-affine self mappings on a compact p-star shaped subset of a topological vector space has a common fixed point.
In this paper we give some new quadrature formulae and we derive the estimates for the remainder term. The optimality in the sense of Nikolski of some quadrature formulae is studied. A property of the intermediate point for the optimal quadrature formula is established.
We obtain common fixed point theorem for a pair, respectively for a sequence of fuzzy contractive type mappings, by using sequence of iterates. Our theorems extend recent results of Bose and Sahani [5] and of Vijayaraju and Mohanraj [16].
In this paper, we will obtain a form of Bernstein-Schurer bivariate operators and finally we will give an approximation theorem for them.
The notion of R-weak commutativity of type (Ag) and that of compatibility of a pair of self mappings is extended to the framework of uniform spaces and fixed point theorems concerning them are proved. The results obtained in the process generalize several known results in the literature including the recent results of V. Pant, R.P. Pant and others and have a bearing on a problem of B.E. Rhoades.
In this paper, we introduce the concept of convex 2-metric spaces and present a generalization of Banach contraction principle in this newly defined space. Our result is a generalization of some well known results of 2-metric spaces. In 1970 Takahashi [4] introduced the notion of convex metric spaces and studied some fixed point theorems for non-expansive mappings in this space. Gahler [1] introduced the concept of 2-metric space alike to metric space. The purpose of this paper is to introduce the concept of convex 2-metric space analogue to convex metric space and obtain a generalization of Banach contraction principle in this space.
In this paper, the boundedness for some multilinear operators related to some singular integral operator with non-smooth kernel on Lp spaces with variable exponent is obtained by using a sharp estimate of the multilinear operators.
We prove that every function belonging to a Sobolev-type space N1,B(X) on a metric measure space X has a B-weak upper gradient in B that is pointwise minimal μ - almost everywhere, provided that the Banach function space B has a strictly convex and strictly monotone norm. This result generalizes corresponding known results involving Lebesgue spaces B = Lp(X), p > 1 [16] or, more general, Orlicz spaces B = LΨ (X) [17] with a strictly convex Young function Ψ satisfying a Δ2 - condition.
The purpose of this paper is to establish some results about the convergence speed of the Riemann sums and to use them to give some properties related with Gamma function. A new proof of the Stirling's formula is given, then we pass to the continuous case, using the Croft's lemma.
A classical nonholonomic, scleronomic mechanical system Σ(1.1) is considered, whose the evolution equations are (2.6.). We associate to system Σ a canonical semispray S* on the phases space TM and we use the differential geometry of Lagrange spaces to study the systems Σ.
By using m-open functions from a topological space into an m-space, we establish the unified theory for several weak forms of open functions between bitopological spaces.
A helicoidal surface is a surface obtained by rotating a curve around an axis and simultaneously translating the curve along that axis. In this paper we identify some minimal surfaces inside of three classes of helicoidal surfaces in the Minkowski space R13
In this paper we prove a general unique fixed point theorem for multifunctions on three metric spaces which generalize the main results from [3] and [4].
An analytical study of unsteady dusty fluid flow between two oscillating plates has been considered. The flow is due to influence of nontorsional oscillations of plates and pulsatile pressure gradient. Flow analysis is carried out using differential geometry techniques and exact solutions of the problem are obtained using Laplace Transform technique. Further graphs drawn for different values of Reynolds number and on basis of these the conclusions are given. Finally, the expressions for skin-friction are obtained at the boundaries.
A generalization of Pecaric's extension to the Montgomery's identity has been derived. The generalization is applicable for any weight functions. The generalized Cebysev type inequality has also been obtained.
In this paper, we establish some common fixed point theorems for probabilistic Φ- contraction mappings on Menger spaces. Our results improve some known results.
C. Shibata [6] investigated the theory of a change which was called a β-change of Finsler metric. We study the behavior of indicatrices given by special β-changes, in particular by a Randers change.
Ramanujan gave simple theta function identities for different bases. We have considered the continued fraction given in section 1, eq. (1.7) which equals quotient of theta functions on base four. This continued fraction is also of Ramanujan and is analogous to his famous continued fraction R(q). In this paper we have given simple theta function identities on base four. These identities will be helpful in deducing modular equations.
β-continuity was introduced by Monsef et al. [1] and then the weak and strong forms of β-continuity are studied. In this paper, we obtain several new properties of slightly β-continuous function which is defined by Noiri [8].