In this article we introduce the paranormed sequence spaces （f,A, Am,p）, c0（f,A,Am,p） and L00（f,A, Am,p）, associated with the multiplier sequence ∧ = （hk）, defined by a modulus function f. We study their diff...
详细信息
In this article we introduce the paranormed sequence spaces （f,A, Am,p）, c0（f,A,Am,p） and L00（f,A, Am,p）, associated with the multiplier sequence ∧ = （hk）, defined by a modulus function f. We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.
This paper presents new definitions which are a natural combination of the definition for asymptotically equivalence and Delta(m)-lacunary strongly summable with respect to a modulus f. Using this definitions we have ...
详细信息
This paper presents new definitions which are a natural combination of the definition for asymptotically equivalence and Delta(m)-lacunary strongly summable with respect to a modulus f. Using this definitions we have proved the (f, Delta(m))-asymptotically equivalence and Delta(m)-lacunary statistical asymptotically equivalence analogues of theorems of Tripathy and Et (Stud Univ Babes-Bolyai Math (1):119-130, 2005) and Colak's theorems (Filomat 17:9-14, 2003).
In this article, we proposed a hybrid high-capacity steganography method in spatial domain. This method capable of embedding secret data in gray-scale image that is undetectable by human eye. It method is a combinatio...
详细信息
In this article, we proposed a hybrid high-capacity steganography method in spatial domain. This method capable of embedding secret data in gray-scale image that is undetectable by human eye. It method is a combination of Pixel-Value Differencing (PVD) steganography method and modulus function steganography method. The hiding capacity of PVD method depends on the difference value of the two consecutive pixels. It can adjust the volume of embedding data by the characteristics of image block. The advantage of modulus function steganography method is simply, easy to implement and can maintain high quality of stego-image. In the proposed scheme, we proposed a method to resolve the compatibility issues of the above two steganography methods. The experimental results have also demonstrated that the proposed method can increase the embedding capacity and maintain the same level of stego-image quality with PVD steganography method. In security issues, experimental results prove that this method can successfully withstand RS-diagram attack.
This paper proposes an information hiding method that exploits the Integer Wavelet Transform (IWT) and Replace function. First, the cover image is transformed into frequency coefficients through the IWT. Then, Run-Len...
详细信息
ISBN:
(纸本)9781614994848;9781614994831
This paper proposes an information hiding method that exploits the Integer Wavelet Transform (IWT) and Replace function. First, the cover image is transformed into frequency coefficients through the IWT. Then, Run-Length Encoding (RLE) technique is used to compress the secret message. Furthermore, the compression result is embedded into the frequency coefficients by using the modulus function and Least Significant Bit (LSB) Matching. When the receiver receives the stego image, the compression result can be obtained from the frequency coefficients of the stego image by using the modulus function and Binary function. In the experimental result, embedding capacity of the secret message and the quality of the stego image are good.
In the present paper we introduce and study some generalized paranormed sequence spaces defined by Musielak-Orlicz functions as well as by a sequence of modulus functions. We also study some topological properties and...
详细信息
In the present paper we introduce and study some generalized paranormed sequence spaces defined by Musielak-Orlicz functions as well as by a sequence of modulus functions. We also study some topological properties and prove some inclusion relations between these spaces.
In this paper, following a very recent and new approach of Aizpuru et al. (Quaest. Math. 37: 525-530, 2014), we further generalize a concept of alpha-density to that of f(alpha)-density, where f is an unbounded modulu...
详细信息
In this paper, following a very recent and new approach of Aizpuru et al. (Quaest. Math. 37: 525-530, 2014), we further generalize a concept of alpha-density to that of f(alpha)-density, where f is an unbounded modulus and 0 < alpha <= 1. As a consequence, we obtain a new nonmatrix convergence method, namely f-statistical convergence of order a or S-alpha(f)-convergence, which is intermediate between the ordinary convergence and the statistical convergence of order alpha. We also introduce a new concept of strong Cesaro summability of order a with respect to a modulus function f, and finally we investigate the relationship between the set S-alpha(f) of all f-statistically convergent sequences of order alpha and the set W-alpha(f) of all strongly Cesaro summable sequences of order alpha with respect to f
Using a double sequence of modulus functions and a solid double scalar sequence space, we determine F-seminorm and F-norm topologies for certain generalized linear spaces of double sequences. The main results are appl...
详细信息
Using a double sequence of modulus functions and a solid double scalar sequence space, we determine F-seminorm and F-norm topologies for certain generalized linear spaces of double sequences. The main results are applied to the topologization of double sequence spaces related to 4-dimensional matrix methods of summability.
In this paper we introduce a generalized vector-valued paranormed sequence space N(p)(E(k) Delta(m);f, s) using modulus function f, where p = (p(k)) is a bounded sequence of positive real numbers such that inf(k)p(k) ...
详细信息
In this paper we introduce a generalized vector-valued paranormed sequence space N(p)(E(k) Delta(m);f, s) using modulus function f, where p = (p(k)) is a bounded sequence of positive real numbers such that inf(k)p(k) > 0;(E(k), q(k)) is a sequence of seminormed spaces with E(k+1) subset of E(k) for each k is an element of N and s >= 0. We have also studied sequence space N(p) (E(k), Delta(m), f(r), s), where f(r) = f circle f circle f circle,..., f (r-times composition of f with itself) and r is an element of N {1, 2, 3,... }. Results regarding completeness, K-space, normality, inclusion relations etc. are derived. Further, a study of multiplier of the set N(p)(E(k), f, s) is also made by choosing (E(k), parallel to .parallel to(k)) as sequence of normed algebras. (C) 2010 Elsevier Inc. All rights reserved.
In this, we introduce and study some properties of the new sequence space that is defined using the phi-function and de la Valee-Poussin mean. We also study some connections between V-lambda((A, phi))-strong summabili...
详细信息
ISBN:
(纸本)9788132224525;9788132224518
In this, we introduce and study some properties of the new sequence space that is defined using the phi-function and de la Valee-Poussin mean. We also study some connections between V-lambda((A, phi))-strong summability of sequences and lambda-strong convergence with respect to a modulus.
In the present paper we introduce the sequence spaces defined by a sequence of modulus function F = ( f k ) . We study some topological properties and inclusion relations between these spaces.
In the present paper we introduce the sequence spaces defined by a sequence of modulus function F = ( f k ) . We study some topological properties and inclusion relations between these spaces.
暂无评论