• Journal of applied mathematics & informatics
• /
• v.6 no.2
• /
• pp.447-454
• /
• 1999

We study a general law of large numbers for array of mu-tually T related fuzzy numbers where T is an Archimedean t-norm and generalize earlier results of Fuller(1992), Triesch(1993) and Hong (1996).

• Kyungpook Mathematical Journal
• /
• v.29 no.2
• /
• pp.141-147
• /
• 1989

The existence and uniqueness of solutions of nonlinear Volterra-Fred-holm integral equations of the more general type are investigated. The main tool employed in our analysis is the method of successive approximation based on the general idea of T.Wazewski.

• Journal of applied mathematics & informatics
• /
• v.37 no.3_4
• /
• pp.201-205
• /
• 2019

This note provides the solution equivalence of general minimum variance and minimax disparity problems for OWA operator. This result generalize a main theorem of Liu [International Journal of Approximate Reasoning, 48 (2008) 598-627.]

• Honam Mathematical Journal
• /
• v.33 no.4
• /
• pp.529-534
• /
• 2011

In this paper, we consider the q-analogues of Euler numbers and polynomials using the fermionic p-adic invariant integral on $\mathbb{Z}_p$. From these numbers and polynomials, we derive some interesting identities and properties on the q-analogues of Euler numbers and polynomials.

• Honam Mathematical Journal
• /
• v.34 no.1
• /
• pp.1-9
• /
• 2012

The purpose of this paper is to give a new construction of the extended q-Euler numbers and polynomials of higher-order with weight by using p-adic q-integral on $\mathbb{Z}_p$.

• Journal of the Chungcheong Mathematical Society
• /
• v.31 no.2
• /
• pp.199-230
• /
• 2018

In this paper, we introduce the general form of a viginti functional equation. Then, we find the general solution and study the generalized Ulam-Hyers stability of such functional equation in multi-Banach spaces by using fixed point technique. Also, we indicate an example for non-stability case regarding to this new functional equation.

• Bulletin of the Korean Mathematical Society
• /
• v.41 no.4
• /
• pp.665-676
• /
• 2004

In this paper we characterize asymptotic stability via Lyapunov function in general dynamical systems on c-first countable space. We give a family of examples which have first countable but not c-first countable, also c-first countable and locally compact space but not metric space. We obtain several necessary and sufficient conditions for a compact subset M of the phase space X to be asymptotic stability.

• Communications of the Korean Mathematical Society
• /
• v.32 no.3
• /
• pp.479-494
• /
• 2017

We construct various examples of simply connected minimal complex surfaces of general type with $p_g=0$ and $K^2=1,2$ using ${\mathbb{Q}}$-Gorenstein smoothing method.

• Journal of the Korean Mathematical Society
• /
• v.47 no.5
• /
• pp.947-965
• /
• 2010

The main purpose of this paper is using estimates for character sums and analytic methods to study the mean value involving the incomplete character sums, 2-th power mean of the inversion of Dirichlet L-function and general Kloosterman sums, and give four interesting asymptotic formulae for it.

• Korean Journal of Mathematics
• /
• v.22 no.4
• /
• pp.671-681
• /
• 2014

In this paper, we consider general Beta operators, which is a general sequence of integral type operators including Beta function. We study the King type Beta operators which preserves the third test function $x^2$. We obtain some approximation properties, which include rate of convergence and statistical convergence. Finally, we show how to reach best estimation by these operators.