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ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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26권 2호

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PDF Citation ESTIMATES FOR A CERTAIN SUBCLASS OF HOLOMORPHIC FUNCTIONS
Ornek, Bulent Nafi(Department of Computer Engineering, Amasya University) ; Akyel, Tugba(Department of Computer Engineering, Maltepe University) pp.59-73 https://doi.org/https://doi.org/10.7468/jksmeb.2019.26.2.59
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Abstract

In this paper, a version of the boundary Schwarz Lemma for the holomorphic function belonging to <TEX>$\mathcal{N}$</TEX>(<TEX>${\alpha}$</TEX>) is investigated. For the function <TEX>$f(z)=z+c_2z^2+C_3z^3+{\cdots}$</TEX> which is defined in the unit disc where <TEX>$f(z){\in}\mathcal{N}({\alpha})$</TEX>, we estimate the modulus of the angular derivative of the function f(z) at the boundary point b with <TEX>$f(b)={\frac{1}{b}}\int\limits_0^b$</TEX> f(t)dt. The sharpness of these inequalities is also proved.

PDF Citation (L, *, &#8857;)-QUASIUNIFORM CONVERGENCE SPACES INDUCED BY OPERATORS
Ko, Jung Mi(Department of Mathematics, Gangneung-Wonju National) ; Kim, Yong Chan(Department of Mathematics, Gangneung-Wonju National) pp.75-84 https://doi.org/https://doi.org/10.7468/jksmeb.2019.26.2.75
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Abstract

In this paper, we introduce quasiuniform convergence structure induced by operators on ecl-premonoid (L, <TEX>${\ast}$</TEX>, <TEX>${\odot}$</TEX>). Moreover, we obtain <TEX>$(L,\;{\ast},\;{\odot})-quasiuniform$</TEX> convergence structure induced by two <TEX>$(L,\;{\ast},\;{\odot})-quasiuniform$</TEX> convergence structures and gives their examples.

PDF Citation ON THE STABILITY OF RECIPROCAL-NEGATIVE FERMAT'S EQUATION IN QUASI-&#946;-NORMED SPACES
Kang, Dongseung(Mathematics Education, Dankook University) ; Kim, Hoewoon B.(Department of Mathematics, Oregon State University) pp.85-97 https://doi.org/https://doi.org/10.7468/jksmeb.2019.26.2.85
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Abstract

In this paper we introduce the reciprocal-negative Fermat's equation induced by the famous equation in the Fermat's Last Theorem, establish the general solution in the simplest cases and the differential solution to the equation, and investigate, then, the generalized Hyers-Ulam stability in a <TEX>$quasi-{\beta}-normed$</TEX> space with both the direct estimation method and the fixed point approach.

PDF Citation COMMON FIXED POINTS FOR WEAKENED COMPATIBLE MAPPINGS SATISFYING THE GENERALIZED &#981;-WEAK CONTRACTION CONDITION
Jain, Deepak(Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology) ; Kumar, Sanjay(Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology) ; Jung, Chahn Yong(Department of Business Administration, Gyeongsang National University) pp.99-110 https://doi.org/https://doi.org/10.7468/jksmeb.2019.26.2.99
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Abstract

In this paper, we prove some common fixed point theorems for pairs of weakened compatible mappings (subcompatible and occasionally weakly compatible mappings) satisfying a generalized <TEX>${\phi}-weak$</TEX> contraction condition involving various combinations of the metric functions. In fact, our results improve the results of Jain et al.. Also we provide an example for validity of our results.

한국수학교육학회지시리즈B:순수및응용수학

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