In this paper we introduce the difference paranormed sequence spaces c0(M,∆m, p), c(M,∆ n m, p) and `∞(M,∆ n m, p) respectively. We study their different properties like completeness, solidity, monotonicity, symmetricity etc. We also obtain some relations between these spaces as well as prove some inclusion results.

In this article we introduce the notion of statistical convergence difference sequences of fuzzy real numbers, c̄ (∆). We study some properties of the statistically convergent and statistically null difference sequence spaces of fuzzy real numbers, like completeness, solidness, sequence algebra, symmetricity, convergence free, nowhere denseness and some inclusion results.

In this paper, a new weighted identity involving harmonically symmetric functions and differentiable functions is established. By using the notion of harmonic symmetricity, harmonic convexity and some auxiliary results, some new Fejér type integral inequalities are presented. Applications to special means of positive real numbers are given as well.

In this article we introduce some I-convergent sequence spaces of fuzzy real numbers defined by Orlicz function and study their different properties such as solidity and symmetricity. The notion of I-convergence generalizes the notion of some particular type of convergence of sequences.

In this article we define different type of statistically convergent, statistically null and statistically bounded double sequence spaces on a seminormed space by Orlicz functions. We study their different properties like solidness, denseness, symmetricity, completeness etc. We obtain some inclusion relations.

A systematic analytic approach to the evaluation of eigenvalues and eigenvectors 5D discrete number operator N_5 is formulated. This essentially based on use symmetricity Fourier transform fi_5 with respect reflection P_d.

In this article we define different type of statistically convergent, statistically null and statistically bounded double sequence spaces on a semi-normed space by Orlicz functions. We study their different properties like solidness, denseness, symmetricity, completeness etc. We obtain some inclusion relations.

In this paper we study a one-dimensional quantum random walk with the Hadamard transformation which is often called the Hadamard walk. We construct the Hadamard walk using a transition matrix on probability amplitude and give some results on symmetricity of probability distributions for the Hadamard walk.

In this paper we introduce and investigate the multiplier difference sequence spaces c0(F , ∆(m), Λ, p), c(F , ∆ n (m), Λ, p) and `∞(F , ∆(m),Λ, p) defined by a sequence F= (fk) of modulus functions and p = (pk) be any bounded sequence of positive real numbers. We study their different properties like completeness, solidity, monotonicity, symmetricity etc. We also obtain some relations between ...