• Bulletin of the Korean Mathematical Society
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• v.41 no.4
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• pp.633-639
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• 2004

In this paper using integral representations for n-time differentiable mappings, we establish new generalizations of certain Ostrowski and Trapezoid type inequalities by using fairly elementary analysis.

• Korean Journal of Mathematics
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• v.13 no.1
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• pp.13-18
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• 2005

Recently, Kehayopulu and Tsingelis studied for prime ideals of groupoids-ordered groupoids. In this paper, we give some results on prime left(right) ideals of groupoid-ordered groupoid. These results are generalizations of their results.

• East Asian mathematical journal
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• v.24 no.2
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• pp.145-149
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• 2008

From the notion of bi-ideals in near-rings, various generalizations of regularity conditions have been studied. In this paper, we generalize further the notion of bi-ideals and introduce the notion of weak bi-ideals in near-rings and obtain some characterizations using this concept in left self distributive near-rings.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1997.10a
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• pp.73-76
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• 1997

We introduce new concepts of fuzzy $\gamma$-preopen($\gamma$-preclosed) sets and fuzzy $\gamma$-precontinuous($\gamma$-preopen, $\gamma$-preclosed) maps as generalizations of the concepts of fuzzy preopen and fuzzy precontinuous of Shahna [7].

• Journal of the Korean Statistical Society
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• v.36 no.1
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• pp.111-127
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• 2007

The logistic distribution is generalized using the Marshall-Olkin scheme and its generalization. Some properties are studied. First order autoregressive time series model with Marshall-Olkin semi-logistic distribution as marginal is developed and studied.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.2
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• pp.227-233
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• 2012

In this paper, using the ${\gamma}$-diagonally $\mathcal{C}$-quasiconcave condition, we will prove a new minimax inequality in a non-convex subset of a topological space which generalizes Fan's minimax inequality and its generalizations in several aspects.

• Kyungpook Mathematical Journal
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• v.60 no.3
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• pp.423-443
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• 2020

Generalizations of essential arity of partial functions, based on essential sets of arguments, are introduced, and their interplay with the minor relation of functions is investigated.

• Journal of the Korean Mathematical Society
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• v.38 no.4
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• pp.697-709
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• 2001

Generalized forms of the von neumann-Sion type minimax theorem, the Fan-Ma intersection theorem, the Fan-a type analytic alternative, and the Nash-Ma equilibrium theorem hold for generalized convex spaces without having any linear structure.

• Communications of the Korean Mathematical Society
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• v.10 no.4
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• pp.811-813
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• 1995

The purpose of this paper is to prove the divisibility of a direct injective module and every closed submodule of a $\pi$-injective module M is a direct summand of M.

• Korean Journal of Mathematics
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• v.30 no.2
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• pp.305-313
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• 2022

In this paper we consider a modified version of Smirnov operator and obtain some Bernstein-type inequalities preserved by this operator. In particular, we prove some results which in turn provide the compact generalizations of some well-known inequalities for polynomials.