• Title/Summary/Keyword: Functional Continuity

Search Result 87, Processing Time 0.023 seconds

APPROXIMATION BY GENUINE LUPAŞ-BETA-STANCU OPERATORS

  • KUMAR, ALOK;VANDANA, VANDANA
    • Journal of applied mathematics & informatics
    • /
    • v.36 no.1_2
    • /
    • pp.15-28
    • /
    • 2018
  • In this paper, we introduce a Stancu type generalization of genuine LupaŞ-Beta operators of integral type. We establish some moment estimates and the direct results in terms of classical modulus of continuity, Voronovskaja-type asymptotic theorem, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Lastly, we propose a king type modification of these operators to obtain better estimates.

CONTROLLABILITY FOR TRAJECTORIES OF SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

  • Jeong, Jin-Mun;Kang, Yong Han
    • Bulletin of the Korean Mathematical Society
    • /
    • v.55 no.1
    • /
    • pp.63-79
    • /
    • 2018
  • In this paper, we first consider the existence and regularity of solutions of the semilinear control system under natural assumptions such as the local Lipschtiz continuity of nonlinear term. Thereafter, we will also establish the approximate controllability for the equation when the corresponding linear system is approximately controllable.

EXISTENCE AND REGULARITY FOR SEMILINEAR NEUTRAL DIFFERENTIAL EQUATIONS IN HILBERT SPACES

  • Jeong, Jin-Mun
    • East Asian mathematical journal
    • /
    • v.30 no.5
    • /
    • pp.631-637
    • /
    • 2014
  • In this paper, we construct some results on the existence and regularity for solutions of neutral functional differential equations with unbounded principal operators in Hilbert spaces. In order to establish the existence and regularity for solutions of the neutral system by using fractional power of operators and the local Lipschtiz continuity of nonlinear term without using many of the strong restrictions considering in the previous literature.

A Study on the Establishment of Executable Continuity of Operations(COOP) to Local Governments focusing on Organization (조직중심의 지자체 기능연속성계획(COOP) 수립방안 및 실행력 확보에 관한 연구)

  • Choi, Hye Ryoung;Lee, Young Jai;Cheung, Chong Soo
    • Journal of the Society of Disaster Information
    • /
    • v.18 no.2
    • /
    • pp.405-417
    • /
    • 2022
  • Purpose: As an administrative organization that directly affects the safety and livelihood of the people, local governments are important to ensure the continuity of key functions in the event of a disaster. The purpose of this study is to review effective methods for establishing and implementing a continuity of operations plan to protect and maintain the key functions of local governments. Method: In order to improve the inefficiency of the ISO22301-based continuity of operation plan, applying the organizational-oriented functional continuity method and set up the planning method, key functions, required resources, and basic education and training forms, and apply to local governments and review their feasibility. Result: The proposed organization-oriented continuity of operation plan preparation method reflects the characteristics of bureaucratic local governments and makes it easy to prepare and apply in practice. Conclusion: Compared to the private sector, in the public sector, where work is organization-oriented, it can be a more efficient way to fully reflect the organizational point of view in establishing a continuity of Opertaions plan.

STABILITY OF THE MONOMIAL FUNCTIONAL EQUATION IN QUASI NORMED SPACES

  • Mirmostafaee, Alireza Kamel
    • Bulletin of the Korean Mathematical Society
    • /
    • v.47 no.4
    • /
    • pp.777-785
    • /
    • 2010
  • Let X be a linear space and Y be a complete quasi p-norm space. We will show that for each function f : X $\rightarrow$ Y, which satisfies the inequality ${\parallel}{\Delta}_x^nf(y)\;-\;n!f(x){\parallel}\;{\leq}\;\varphi(x,y)$ for suitable control function $\varphi$, there is a unique monomial function M of degree n which is a good approximation for f in such a way that the continuity of $t\;{\mapsto}\;f(tx)$ and $t\;{\mapsto}\;\varphi(tx,\;ty)$ imply the continuity of $t\;{\mapsto}\;M(tx)$.

Effects of Beauty Service Benefits on Consumer's Long-term Relationship Orientation -Focused on Effort of Relationship Continuity of Service Provider- (미용서비스 효익이 소비자의 장기적 관계지향성에 미치는 영향 -서비스 제공자의 관계유지노력을 조절변인으로-)

  • Jeon, Ji-Hyun;Rhee, Young-Sun
    • Journal of the Korean Society of Clothing and Textiles
    • /
    • v.33 no.4
    • /
    • pp.543-553
    • /
    • 2009
  • The purpose of this study is to identify the dimensions of beauty service benefit and to examine the effect of beauty service benefit on consumer's long-term relationship through consumer satisfaction. Beauty service benefit consists of three dimensions: emotional benefit, technical benefit and functional benefit. The aforementioned three dimensions of beauty service benefits have positive effects on consumer satisfaction. The effort of relationship continuity was a moderating variable among beauty service benefits, consumer satisfaction, and long-term relationship orientation. The findings of this study are expected to be used for developing and applying the program of consumer relationship management.

A Study on the Expression of a Trance Aesthetic Consciousness of Continuity in Contemporary Fashion (현대 패션에 나타난 연속성의 트랜스 미의식에 관한 연구)

  • Yang, Hee-Young;Lee, Kyung-Hee
    • Journal of the Korean Society of Costume
    • /
    • v.58 no.8
    • /
    • pp.74-90
    • /
    • 2008
  • Since the late of 20th Century, philosophy, art, and aesthetics have attention to the movement of object that persue the dynamics and qualitative change, not existing fixed and quantitative object. Qualitative continuity, including discontinuity of specific spot and surface that occurs sudden change, is distinct characteristics considered in contemporary logo civilization, which combines and disperses according as various purpose among the different elements and objects. Therefore, I studied about the characteristics of qualitative continuity that creates the change and the differentiation continuously through the "formative characteristics of the continuity expressed in contemporary fashion" of my preceding paper. This paper is the following study of above mentioned paper, and Investigates about aesthetic consciousness leading to the various change. This is intends to consider the trans-aesthetic consciousness that accepts dynamic movement and change the different object and reforms new relationship continuously. This studies' conclusion is as follows; 1) sublimity-Infinity, de-constructive, excessive 2) jouissance - functional, structural 3) paradox-perceptual, spatial. A study about the trans-aesthetic consciousness would help to offer philosophical basis, and make a change building aesthetic foundation in explaining various relationship like as phenomenon of the retro, neo, post, fusion expressed since the late of 20th Century.

A Study on the Effects of Public Library Senior User's Perception of Relational Benefits on the Relationship Quality and Intent to Relationship Continuity (공공도서관 시니어 이용자가 지각하는 관계혜택이 관계품질과 관계지속의도에 미치는 영향에 관한 연구)

  • Shin, Hye-Bong;Noh, Dong-Jo
    • Journal of the Korean BIBLIA Society for library and Information Science
    • /
    • v.30 no.4
    • /
    • pp.135-156
    • /
    • 2019
  • The purpose of this study is to examine the influence of perceived relational benefits of senior library users on the relationship quality and intent to relationship continuity. This study was conducted 50+ public library users through the survey, and 185 subjects were analyzed. The results showed that relational benefits mediated by relationship quality affect intent to relationship continuity. Particularly, functional benefit among the relational benefits had a great effect on intent to relationship continuity, mediated by relationship quality. Commitment among relational quality had a great effect on intent to relationship continuity. These findings suggest marketing policy implications to develop service policy for senior library users.

CONTROLLABILITY FOR SEMILINEAR FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS

  • Jeong, Jin-Mun;Kim, Han-Geul
    • Bulletin of the Korean Mathematical Society
    • /
    • v.46 no.3
    • /
    • pp.463-475
    • /
    • 2009
  • This paper deals with the regularity properties for a class of semilinear integrodifferential functional differential equations. It is shown the relation between the reachable set of the semilinear system and that of its corresponding linear system. We also show that the Lipschitz continuity and the uniform boundedness of the nonlinear term can be considerably weakened. Finally, a simple example to which our main result can be applied is given.

EXISTENCE RESULTS FOR NEUTRAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH INFINITE DELAY IN BANACH SPACES

  • Chandrasekaran, S.;Karunanithi, S.
    • Journal of applied mathematics & informatics
    • /
    • v.33 no.1_2
    • /
    • pp.45-60
    • /
    • 2015
  • This paper is concerned with the existence of mild solutions for partial neutral functional integrodifferential equations with infinite delay in Banach spaces. The results are obtained by using resolvent operators and Krasnoselski-Schaefer type fixed point theorem. An example is provided to illustrate the results.