We introduce a new concept of general $G$-$eta$-monotone operator generalizing the general $(H,eta)$-monotone operator cite{arvar2, arvar1}, general $H-$ monotone operator cite{xiahuang} in Banach spaces, and also generalizing $G$-$eta$-monotone operator cite{zhang}, $(A, eta)$-monotone operator cite{verma2}, $A$-monotone operator cite{verma0}, $(H, eta)$-monotone operator cite{fanghuang}...

 This paper discusses models for manufacturing systems that are based on generalized stochastic Petri nets and on Markov decision processes. We employ generalized stochastic Petri nets to model manufacturing processes with high degree of uncertainty due to the human operator behavior. We extend the usual generalized stochastic Petri nets by allowing imprecision about probabilities to be explic...

This paper studies a suitably normalized set of generalized Hermite polynomials and sets down a relevant Mehler formula, Rodrigues formula, and generalized translation operator. Weighted generalized Hermite polynomials are the eigenfunctions of a generalized Fourier transform which satisfies an F. and M. Riesz theorem on the absolute continuity of analytic measures. The Bose-like oscillator cal...

In this paper, using a generalized Jacobi-Dunkl translation operator, we prove a generalization of Titchmarsh’s theorem for functions in the k-JacobiDunkl-Lipschitz class defined by the finite differences of order k ∈ N∗ and Sobolev spaces associated with the Jacobi-Dunkl operator.

In this paper‎, ‎using a generalized Dunkl translation operator‎, ‎we obtain a generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the$(psi,p)$-Lipschitz Dunkl condition in the space $mathrm{L}_{p,alpha}=mathrm{L}^{p}(mathbb{R},|x|^{2alpha+1}dx)$‎, ‎where $alpha>-frac{1}{2}$.  

The main purpose of this paper is to detemine the fine spectrum of the generalized difference operator Delta_{uv} over the sequence space c0. These results are more general than the fine spectrum of the generalized difference operator Delta_{uv} of Srivastava and Kumar.

some necessary and sufficient conditions are given for the existence of a g-positive (g-repositive) solution to adjointable operator equations $ax=c,axa^{left( astright) }=c$ and $axb=c$ over hilbert $c^{ast}$-modules, respectively. moreover, the expressions of these general g-positive (g-repositive) solutions are also derived. some of the findings of this paper extend some known results in the...

The Steklov averages (Steklov or integral means) are used in approximation theory of functions different aspects. This article concerns the by using operator cosine function framework. offers a counterpart translation operator, which forms basic concept for modulus continuity and some processes as well. We will show that allows to define very general an abstract Banach space. properties these g...

We investigate the generalized convergence and sums of series of the form P n≥0 anT P (x), where P ∈ R[x], an ∈ R, ∀n ≥ 0, and T : R[x] → R[x] is a linear operator that commutes with the differentiation d dx : R[x]→ R[x]. CONTENTS 1. The main result 1 2. Some applications 3 References 9 1. THE MAIN RESULT We consider series of the form ∑ n≥0 anT P (x), (†) where P ∈ R[x], and T : R[x]→ R[x] is ...