• Title/Summary/Keyword: Object function

Search Result 1,587, Processing Time 0.03 seconds

A NEW CLASS OF EULER TYPE INTEGRAL OPERATORS INVOLVING MULTIINDEX MITTAG-LEFFLER FUNCTION

  • Khan, Nabiullah;Ghayasuddin, Mohd.;Shadab, Mohd
    • Honam Mathematical Journal
    • /
    • v.40 no.4
    • /
    • pp.691-700
    • /
    • 2018
  • The main object of the present research paper is to establish two (potentially) useful Euler type integrals involving multiindex Mittag-Leffler functions, which are expressed in terms of Wright hypergeometric functions. Some deductions of the main results are also indicated.

SOME RADIUS RESULTS OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE SRIVASTAVA-ATTIYA OPERATOR

  • Kim, Yong Chan;Choi, Jae Ho
    • Nonlinear Functional Analysis and Applications
    • /
    • v.26 no.2
    • /
    • pp.323-329
    • /
    • 2021
  • The main object of the present paper is to investigate some radius results of the functions f(z) = z + Σn=2 anzn(|z| < 1) with |an| ≤ n for all n ∈ ℕ. Some applications for certain operator defined through convolution are also considered.

MAJORIZATION PROBLEMS FOR UNIFORMLY STARLIKE FUNCTIONS BASED ON RUSCHEWEYH q-DIFFERENTIAL OPERATOR RELATED WITH EXPONENTIAL FUNCTION

  • Vijaya, K.;Murugusundaramoorthy, G.;Cho, N.E.
    • Nonlinear Functional Analysis and Applications
    • /
    • v.26 no.1
    • /
    • pp.71-81
    • /
    • 2021
  • The main object of this present paper is to study some majorization problems for certain classes of analytic functions defined by means of q-calculus operator associated with exponential function.

A NOTE ON MIXED POLYNOMIALS AND NUMBERS

  • Mohd Ghayasuddin;Nabiullah Khan
    • Honam Mathematical Journal
    • /
    • v.46 no.2
    • /
    • pp.168-180
    • /
    • 2024
  • The main object of this article is to propose a unified extension of Bernoulli, Euler and Genocchi polynomials by means of a new family of mixed polynomials whose generating function is given in terms of generalized Bessel function. We also discuss here some fundamental properties of our introduced mixed polynomials by making use of the series arrangement technique. Furthermore, some conclusions of our present study are also pointed out in the last section.

CERTAIN INTEGRAL REPRESENTATIONS OF EULER TYPE FOR THE EXTON FUNCTION X8

  • Choi, June-Sang;Hasanov, Anvar;Turaev, Mamasali
    • Communications of the Korean Mathematical Society
    • /
    • v.27 no.2
    • /
    • pp.257-264
    • /
    • 2012
  • Exton introduced 20 distinct triple hypergeometric functions whose names are $X_i$ (i = 1, ${\ldots}$, 20) to investigate their twenty Laplace integral representations whose kernels include the confluent hypergeometric functions $_0F_1$, $_1F_1$, a Humbert function ${\Psi}_1$, and a Humbert function ${\Phi}_2$. The object of this paper is to present 18 new integral representations of Euler type for the Exton hypergeometric function $X_8$, whose kernels include the Exton functions ($X_2$, $X_8$) itself, the Horn's function $H_4$, the Gauss hypergeometric function $F$, and Lauricella hypergeometric function $F_C$. We also provide a system of partial differential equations satisfied by $X_8$.

A Study on Epistemological Critique between Philosophy and Architecture (건축과 철학의 인식론적 논의에 관한 연구)

  • Lee, Yong-Jae
    • Korean Institute of Interior Design Journal
    • /
    • v.21 no.1
    • /
    • pp.111-118
    • /
    • 2012
  • The purpose of this study is to classify the epistemological critique between philosophy and architecture. Although there are various interpretations and criticism about the architecture, the fundamental critique of architecture is difficult. It is necessary to approach by the philosophic paradigm rather than architectural one. Therefore the procedure and method of study is to define the epistemology within philosophy and architecture, and present the classification viewpoint and the architecture case. The conclusions of this study based on purpose and process are as follows : The First, the philosophic epistemology is to mean the unity of subjective and objective. And the epistemological viewpoint of architectural philosophy is to define the construction's universality. The second, the architectural philosophy is a kind of the philosophy of art, and It is associated with the basis of aesthetics. Thus, the category of architectural philosophy like the aesthetics is classified with function directivity and form directivity, content directivity. The Last, epistemological critiques between philosophy and architecture are as follows ; 1) subject-object-integrated recognition critique (function directivity), 2) object-oriented recognition critique (form directivity), 3) subject-oriented recognition critique (content directivity).

  • PDF

The Design of Functional Class for SNMP/CMIP Integration Management Gateway System Using CORBA (CORBA를 이용한 SNMP/CMIP 통합관리 Gateway 시스템 구축을 위한 기능별 클래스 설계 방안)

  • 강미영;곽지영;강현철;남지승
    • Proceedings of the IEEK Conference
    • /
    • 2000.06a
    • /
    • pp.93-96
    • /
    • 2000
  • The CMIP(Common Management Information Protocol) and SNMP(Simple Network Management Network) are the two major network management protocols, Which nee to be integrated. Since the networks need to be managed in a uniform way, the CORBA(Common Object Request Broker Architecture) NE View is to develop as a Standard in the ATM Forum For the TMN management structure to integrate these two protocols. In this paper, the function classes are defined to develop the gateway for efficient subnetwork management. The function classes are defined based on the analysis of EMS functions which are mainly network management design of the TMN structure. Also, the object models of the SMI)(Structure of Management Information) in SNMP and the GDMO(Guidelines for the Definition of Managed Objects) in CMIP are developed way direct translation and abstract translation. The integrated management system design, information model translation of EMS using classdefinition, is efficient is efficient method to interconnect CORBA/SNMP and CORBA/CMIP.

  • PDF

Boundary Extraction Using Statistical Edge and Curvature Model

  • Park, Hae-Chul;Lee, J. S.;H. C. Shin;J. H. Cho;Kim, S. D.
    • Proceedings of the IEEK Conference
    • /
    • 2001.09a
    • /
    • pp.403-406
    • /
    • 2001
  • We propose an algorithm for extracting the boundary of an object. In order to take full advantage of global shape, our approach uses global shape parameters derived from Point Distribution Model (PDM). Unlike PDM, the proposed method models global shape using curvature as well as edge. The objective function of applying the shape model is formulated using Bayesian rule. We can extract the boundaries of an object by evaluating iteratively the solution maximizing the objective function. Experimental results show that the proposed method can reduce computation cost than the PDM and it is robust to noise, pose variation, and some occlusion.

  • PDF

Modified GMM Training for Inexact Observation and Its Application to Speaker Identification

  • Kim, Jin-Young;Min, So-Hee;Na, Seung-You;Choi, Hong-Sub;Choi, Seung-Ho
    • Speech Sciences
    • /
    • v.14 no.1
    • /
    • pp.163-174
    • /
    • 2007
  • All observation has uncertainty due to noise or channel characteristics. This uncertainty should be counted in the modeling of observation. In this paper we propose a modified optimization object function of a GMM training considering inexact observation. The object function is modified by introducing the concept of observation confidence as a weighting factor of probabilities. The optimization of the proposed criterion is solved using a common EM algorithm. To verify the proposed method we apply it to the speaker recognition domain. The experimental results of text-independent speaker identification with VidTimit DB show that the error rate is reduced from 14.8% to 11.7% by the modified GMM training.

  • PDF

A study on programming Development Forming Design Automated of CAM for Spring using Car (자동차용 스프링 성형용 CAM의 성형설계자동화 프로그램 개발)

  • Park C.H.;Lee J.H.;Kim Y.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 2005.06a
    • /
    • pp.1353-1357
    • /
    • 2005
  • A CAM program for forming design Automated of CAM for Spring using car was developed in this study. This program was written in AUTO-LISP on the AUTO-CAD system with a personal. An approach to the system is based on the kinemateic of the object function. We make a determination of an cam programming. A cam spline is continuous in displacement, velocity and acceleration. The best cam curve is obtained by changing the kinemateic of the object function. The result has improved all characteristics such as velocity, acceleration and displacement compared with that of the modified cycloid curve.

  • PDF