• 제목/요약/키워드: inequalities

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GENERALIZED STRONGLY NONLINEAR QUASI-VARIATIONAL INEQUALITIES

  • Jeong, Jae-Ug
    • Journal of applied mathematics & informatics
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    • 제6권1호
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    • pp.253-264
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    • 1999
  • In this paper we introduce and study a new class of vari-ational inequalities which are called the generalized strongly nonlin-ear quasi-variational inequalities. An algorithm for finding the ap-proximate solution of generalized strongly nonlinear quasi-variational inequalities is also given. These variational inequalities include the previously known classes of variational inequalities as special cases.

GENERALIZED VECTOR-VALUED VARIATIONAL INEQUALITIES AND FUZZY EXTENSIONS

  • Lee, Byung-Soo;Lee, Gue-Myung;Kim, Do-Sang
    • 대한수학회지
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    • 제33권3호
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    • pp.609-624
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    • 1996
  • Recently, Giannessi [9] firstly introduced the vector-valued variational inequalities in a real Euclidean space. Later Chen et al. [5] intensively discussed vector-valued variational inequalities and vector-valued quasi variationl inequalities in Banach spaces. They [4-8] proved some existence theorems for the solutions of vector-valued variational inequalities and vector-valued quasi-variational inequalities. Lee et al. [14] established the existence theorem for the solutions of vector-valued variational inequalities for multifunctions in reflexive Banach spaces.

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WEIGHTED ESTIMATES FOR CERTAIN ROUGH OPERATORS WITH APPLICATIONS TO VECTOR VALUED INEQUALITIES

  • Liu, Feng;Xue, Qingying
    • 대한수학회지
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    • 제58권4호
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    • pp.1035-1058
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    • 2021
  • Under certain rather weak size conditions assumed on the kernels, some weighted norm inequalities for singular integral operators, related maximal operators, maximal truncated singular integral operators and Marcinkiewicz integral operators in nonisotropic setting will be shown. These weighted norm inequalities will enable us to obtain some vector valued inequalities for the above operators.

ORLICZ-TYPE INTEGRAL INEQUALITIES FOR OPERATORS

  • Neugebauer, C.J.
    • 대한수학회지
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    • 제38권1호
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    • pp.163-176
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    • 2001
  • We examine Orlicz-type integral inequalities for operators and obtain as a corollary a characterization of such inequalities for the Hardy-Littlewood maximal operator extending the well-known L(sup)p-norm inequalities.

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한국 건강불평등의 현황과 문제점 (Health Inequalities in Korea: Current Conditions and Implications)

  • 김유미;김명희
    • Journal of Preventive Medicine and Public Health
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    • 제40권6호
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    • pp.431-438
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    • 2007
  • Objectives : The aim of this study is to summarize the current conditions and implications of health inequalities in South Korea. Methods : Through a literature review of empirical studies and supplementary analysis of the data presented in the 1998, 2001, and 2005 KNHANEs, we evaluated the extent and trends of socioeconomic inequalities in both health risk factors, such as smoking, physical activity, and obesity, and outcomes, such as total mortality, subjective poor health status by self-reports and metabolic syndrome. Relative risks and odds ratios were used to measure differences across socioeconomic groups, and the relative index of inequality was used to evaluate the changes in inequalities over time. Results : We found clear inequalities to various degrees?in most health indicators. While little change was observed in mortality differences over time, the socioeconomic gaps in risk factors and morbidity have been widening, with much larger differences among the younger population. Conclusions : Socioeconomic inequalities are pervasive across various health indicators, and some of them are increasing. The trends in socioeconomic inequalities in health should be carefully monitored, and comprehensive measures to alleviate health inequalities are needed, especially for young populations.

CERTAIN FRACTIONAL INTEGRAL INEQUALITIES ASSOCIATED WITH PATHWAY FRACTIONAL INTEGRAL OPERATORS

  • Agarwal, Praveen;Choi, Junesang
    • 대한수학회보
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    • 제53권1호
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    • pp.181-193
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    • 2016
  • During the past two decades or so, fractional integral inequalities have proved to be one of the most powerful and far-reaching tools for the development of many branches of pure and applied mathematics. Very recently, many authors have presented some generalized inequalities involving the fractional integral operators. Here, using the pathway fractional integral operator, we give some presumably new and potentially useful fractional integral inequalities whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville type fractional integral operators. Relevant connections of the results presented here with those earlier ones are also pointed out.