We give a new generalization of Bleimann, Butzer, and Hahn operators, which includes qintegers.We investigate uniform approximation of these new operators on some subspace of bounded and continuous functions. In Section 3, we show that the rates of convergence of the new operators in uniform norm are better than the classical ones. We also obtain a pointwise estimation in a general Lipschitz-ty...

In this paper we investigate the existence of L(π)-spectral gaps for π-irreducible, positive recurrent Markov chains on general state space. We obtain necessary and sufficient conditions for the existence of L(π)spectral gaps in terms of a sequence of isoperimetric constants and establish their asymptotic behavior. It turns out that in some cases the spectral gap can be understood in terms of c...

an idea of fuzzy reexivity of felbin's type fuzzy normed linear spaces is introduced and its properties are studied. concept of fuzzy uniform normal structure is given and using the geometric properties of this concept xed point theorems are proved in fuzzy normed linear spaces.

lorentz characterized the almost convergence through the concept of uniform convergence of de lavallée-poussin mean. in this paper, we generalize the notion of almost convergence by using the concept ofinvariant mean and the generalized de la vallée-poussin mean. we determine the bounded linear operators forthe generalized σ-conservative, σ-regular and σ-coercive matrices.

The existence and uniqueness of solutions to the Euler equations for initial vorticity in BΓ ∩L p0 ∩L1 was proved by Misha Vishik, where BΓ is a borderline Besov space parameterized by the function Γ and 1 < p0 < 2 < p1. Vishik established short time existence and uniqueness when Γ(n) = O(log n) and global existence and uniqueness when Γ(n) = O(log 1 2n). For initial vorticity in BΓ ∩ L , we es...

We investigate the uniform regularity and zero kinematic viscosity-magnetic diffusion limit for incompressible viscous magnetohydrodynamic equations with Navier boundary conditions on velocity perfectly conducting magnetic field in a smooth bounded domain ? ? ?3. It is shown that there exists unique strong solution to finite time interval which independent of viscosity coefficient diffusivity c...

In this paper, we prove strong convergence results for a modified Mann iterative process for a new class of I- nearly weak uniformly L-Lipschitzian mappings in a real Banach space. The class of I-nearly weak uniformly L-Lipschitzian mappings is an interesting generalization of the class of nearly weak uniformly L-Lipschitzian mappings which inturn is a generalization of the class of nearly unif...

We consider the space of analytic functions in the closed domain, where convergence is a uniform convergence in closed domain that contains the original domain strictly inside itself and prove the theorems on the approximation and statistical approximation of functions in this space by the sequences of linear operators.

Let (S(t))t≥0 be a one-parameter family of positive integral operators on a locally compact space L. For a possibly non-uniform partition of [0, 1] define a finite measure on the path space CL[0, 1] by using a) S(∆t) for the transition between any two consecutive partition times of distance ∆t and b) a suitable continuous interpolation scheme (e.g. Brownian bridges or geodesics). If necessary n...