Abstract In this paper, we study the generalized order- Jacobsthal sequences modulo for and the generalized order-k Jacobsthal-Padovan sequence modulo for . Also, we define the generalized order-k Jacobsthal orbit of a k-generator group for and the generalized order-k Jacobsthal-Padovan orbit a k-generator group for . Furthermore, we obtain the lengths of the periods of the generalized order-3 ...

Abstract In this article, we study the following Kirchhoff equation: (0.1) − stretchy="false">( a + b ‖ ∇ u L 2 ( <m:mi mathva...

In this paper we analyse a class of fully discrete Space-Time Expansion Discontinuous-Galerkin methods for scalar conservation laws. This method has been introduced in [11, 17, 18] for a speci c expansion relying on the Cauchy-Kovaleskaya technique. We introduce a general concept of admissible expansions which in particular allows us to prove an error estimate for smooth solutions. The result a...

In the present paper, we prove a characterization theorem which gives a necessary and sufficient condition for a sequence of fuzzy numbers to be levelwise statistically convergent in the space of fuzzy numbers. As an application of this theorem we utilize the idea of statistical equi-continuity in order to obtain a condition which guarantees the set of levelwise statistical cluster points of a ...

We present algorithms for the k-Matroid Intersection Problem and for the Matroid k-Pafity Problem when the matroids are represented over the field of rational numbers and k > 2. The computational complexity of the algorithms is linear in the cardinality and singly exponential in the rank of the matroids. As an application, we describe new polynomially solvable cases of the k-Dimensional Assignm...

In this paper we define the sequence space wF f ; p;D ð Þ which is called the space of strongly Dp-Cesàro summable sequences with modulus f. Furthermore the fuzzy D-statistically pre-Cauchy sequence is defined and the necessary and sufficient conditions are given for a sequence of fuzzy numbers to be fuzzy D-statistically preCauchy and to be fuzzy D-statistically convergent. Also some relations...

To manage large database system with video, effective video indexing and retrieval are required. A large number of video retrieval algorithms have been presented for frame-wise user query or video content query, whereas a few video identification algorithms have been proposed for video sequence query. In this paper, we propose an effective video identification algorithm for video sequence query...

For a given sequence of real numbers a1, . . . , an we denote the k-th smallest one by k-min1≤i≤n ai. Let A be a class of random variables satisfying certain distribution conditions (the class contains N(0, 1) Gaussian random variables). We show that there exist two absolute positive constants c and C such that for every sequence of positive real numbers x1, . . . , xn and every k ≤ n one has c...

Using the polynomial method in additive number theory, this article establishes a new addition theorem for the set of subsums of a set satisfying A ∩ (−A) = ∅ in Z/pZ: |Σ(A)| > min  p, 1 + |A|(|A|+ 1) 2 ff . The proof is similar in nature to Alon, Nathanson and Ruzsa’s proof of the Erdös-Heilbronn conjecture (proved initially by Dias da Silva and Hamidoune [10]). A key point in the proof of th...