We consider the generalized Cesàro sequence spaces defined by Suantai (2003) and consider it equipped with the Amemiya norm. The main purpose of this paper is to show that ces (p) equipped with the Amemiya norm is rotund and has uniform Kadec-Klee property. 1. Introduction. In the whole paper, N and R stand for the sets of natural numbers and real numbers, respectively. Let (X, · ·) be a real n...

The systematics of the local energies and the two-neutron separation energies obtained in the mass predictions of infinite nuclear matter model of atomic nuclei show strong evidence of new neutron magic numbers 100,152,164 , new proton magic number 78 and new islands of stability around N=100, Z ≃ 62; N=152,Z=78; and N=164,Z≃90 in the drip line regions of nuclear chart,where the usual magic num...

This paper is devoted to the investigation on stability for two characteristic functions $f_1(z) = z^2+pe^{-z\tau }+q$ and $f_2(z) z^2+pz e^{-z\tau }+q$, where $p$ $q$ are real numbers $\tau >0$. The obtained theorems describe explicit dependence changing delay $. Our results applied some special cases of a linear differential system with in diagonal terms delay-dependent conditions obtained.

Let 1M be a compact C’ differentiable manifold such that its rational homology is H3 (M; Q) zz Q if j E J U {0}, and Hj (M; Q) z (0) otherwise. Here J is a subset of the set of natural numbers N with cardinal 1, 2 or 3. A C1 map f : A4 + A4 is called transversal if for all m E N the graph of f m intersects transversally the diagonal of A4 x M at each point (2, z) such that z is a fixed point of...

By defining the non-adjacent number, p(G, k), and topological index, ZG, for a graph G, several sequences of graphs are shown to be closely related to the golden ratio, τ. Namely, the Z-values of the path and cycle graphs are Fibonacci, and Lucas numbers, respectively, and thus the ratio of consecutive terms of Z converges to τ. Several new sequences of graphs (golden family graphs) were found ...

As usual, we write Z,Q,Fp,C for the ring of integers, the field of rational numbers, the finite field with p elements and the field of complex numbers respectively. If Z is a smooth algebraic variety over an algebraically closed field then we write Ω(Z) for the space of differentials of the first kind on Z. If Z is an abelian variety then we write End(Z) for its ring of (absolute) endomorphisms...

We propose a program specialization technique for locally stratified CLP(Z) programs, that is, logic programs with linear constraints over the set Z of the integer numbers. For reasons of efficiency our technique makes use of a relaxation from integers to reals. We reformulate the familiar unfold/fold transformation rules for CLP programs so that: (i) the applicability conditions of the rules a...

Real-world decision relevant information is often partially reliable. The reasons are partial reliability of the source of information, misperceptions, psychological biases, incompetence, and so forth. Z-numbers based formalization of information (Z-information) represents a natural language (NL) based value of a variable of interest in line with the related NL based reliability. What is import...

We give two-point distortion theorems for various subfamilies of analytic univalent functions. We also find the necessary and sufficient condition for these subclasses of analytic functions. 1. Introduction. Let Ω be the family of functions ω(z) regular in the unit disc D = {z | |z| < 1} and satisfying the conditions ω(0) = 0, |ω(z)| < 1 for z ∈ D. For arbitrary fixed numbers A, B, −1 ≤ B < A ≤...

We discuss some examples that illustrate the countability of the positive rational numbers and related sets. Techniques include radix representations, Gödel numbering, the fundamental theorem of arithmetic, continued fractions, Egyptian fractions, and the sequence of ratios of successive hyperbinary representation numbers. Ginsberg [7] gave an injective mapping of the rational numbers Q into th...