Results 1 to 10 of about 102,266 (189)

A Coding Theorem for f-Separable Distortion Measures [PDF]

open access: goldEntropy, 2018
In this work we relax the usual separability assumption made in rate-distortion literature and propose f -separable distortion measures, which are well suited to model non-linear penalties.
Yanina Shkel, Sergio Verdú
doaj   +2 more sources

Exponential Strong Converse for Successive Refinement with Causal Decoder Side Information

open access: yesEntropy, 2019
We consider the k-user successive refinement problem with causal decoder side information and derive an exponential strong converse theorem. The rate-distortion region for the problem can be derived as a straightforward extension of the two-user case by ...
Lin Zhou, Alfred Hero
doaj   +3 more sources

On Harmonic Functions by using Ruscheweyh-Type Associated with Differential Operators [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2021
By applying Ruscheweyh - type harmonic function on the class ASH(λ,α,k,γ), a new subclass ℋRq(m, α, k, γ) for harmonic univalent function in the unit disk D is introduced, Furthermore, some geometric properties are obtained
Mohammed Fathi, Abdul Rahman Juma
doaj   +1 more source

ON MULTIVALENT HARMONIC MEROMORPHIC FUNCTIONS INVOLVING HYPERGEOMETRIC FUNCTIONS [PDF]

open access: yesالمجلة العراقية للعلوم الاحصائية, 2011
In this paper we introduce a subclass of multivalent harmonic meromorphic functions defined in the exterior of the unit disk by using generalize hypergeometric functions.
ABDULRAHMAN SALMAN JUMA
doaj   +1 more source

Certain properties of multivalent analytic functions defined by q-difference operator involving the Janowski function

open access: yesAIMS Mathematics, 2021
A new subclass of multivalent analytic functions is defined by means of q-difference operator and Janowski function. Some properties of functions in this new subclass such as sufficient and necessary conditions, coefficient estimates, growth and ...
Bo Wang, Rekha Srivastava, Jin-Lin Liu
doaj   +1 more source

On q-analogue of Janowski-type starlike functions with respect to symmetric points

open access: yesDemonstratio Mathematica, 2021
The main objective of the present paper is to define a class of qq-starlike functions with respect to symmetric points in circular domain. Some interesting results of these functions have been evaluated in this article.
Khan Muhammad Ghaffar   +4 more
doaj   +1 more source

On generalized fractional integral operator involving Fox's $H$-function and its applications to unified subclass of prestarlike functions with negative coefficients

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
The aim of present paper is to find out different interesting properties and characterization of unified class $P_{\gamma}(A, B, \alpha,\sigma)$ of prestarlike functions with negative coefficients in the unit disc $U$.
D. Soybaş, S.B. Joshi, H.H. Pawar
doaj   +1 more source

On Some Classes of Harmonic Functions Associated with the Janowski Function

open access: yesMathematics, 2023
In this paper, we introduce some classes of univalent harmonic functions with respect to the symmetric conjugate points by means of subordination, the analytic parts of which are reciprocal starlike (or convex) functions.
Lina Ma, Shuhai Li, Huo Tang
doaj   +1 more source

A Certain Subclass of Multivalent Analytic Functions Defined by the q-Difference Operator Related to the Janowski Functions

open access: yesMathematics, 2021
A class of p-valent analytic functions is introduced using the q-difference operator and the familiar Janowski functions. Several properties of functions in the class, such as the Fekete–Szegö inequality, coefficient estimates, necessary and sufficient ...
Bo Wang, Rekha Srivastava, Jin-Lin Liu
doaj   +1 more source

Variable-rate source coding theorems for stationary nonergodic sources [PDF]

open access: yes, 1994
For a stationary ergodic source, the source coding theorem and its converse imply that the optimal performance theoretically achievable by a fixed-rate or variable-rate block quantizer is equal to the distortion-rate function, which is defined as the ...
Chou, P. A., Effros, M., Gray, R. M.
core   +2 more sources

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