• Kyungpook Mathematical Journal
• /
• 제47권3호
• /
• pp.323-328
• /
• 2007

In this paper, we extend the result of Ram [3] and also study the $L^1$-convergence of the $r^{th}$ derivative of cosine series.

• 한국지능시스템학회논문지
• /
• 제11권2호
• /
• pp.173-177
• /
• 2001

We introduce cascade products, wreath products, sums and joins of TL-finite state machines and investigate their algebraic structures. Also we study the relations with other products of TL-finite state machines.

• 충청수학회지
• /
• 제29권3호
• /
• pp.477-489
• /
• 2016

The purpose of this paper is to establish the complete moment convergence and the integrability of supremum for weighted sums of pairwise negatively quadrant dependent random variables satisfying stochastically dominating condition.

• 호남수학학술지
• /
• 제26권3호
• /
• pp.287-298
• /
• 2004

In this paper we derive complete convergences for weighted sums of asymptotically almost negatively associated random variables.

• 한국지능시스템학회:학술대회논문집
• /
• 한국퍼지및지능시스템학회 2001년도 춘계학술대회 학술발표 논문집
• /
• pp.25-28
• /
• 2001

We introduce sums and joins of fuzzy finite state machines and investigate their algebraic structures.

• 충청수학회지
• /
• 제21권2호
• /
• pp.223-230
• /
• 2008

In this paper, we present an upper bound of the reciprocal sums of generalized subset-sum-distinct sequences with respect to the first terms of the sequences. And we show the suggested upper bound is best possible. This is a kind of generalization of [1] which contains similar result for classical subset-sum-distinct sequences.

• 충청수학회지
• /
• 제26권1호
• /
• pp.137-145
• /
• 2013

In this paper we obtain the complete convergence of weighted sums of asymptotically almost negatively associated random variables. Some previous known results for negatively associated random variables are generalized to asymptotically almost negative association case.

• 대한수학회보
• /
• 제56권2호
• /
• pp.319-331
• /
• 2019

On the weighted Dirichlet space, by the Sobolev's embedding theorem, we characterize the compactness for operators which are finite sums of products of several Toeplitz operators. Moreover, the essential spectrum of Toeplitz operator is characterized.

• Kyungpook Mathematical Journal
• /
• 제58권4호
• /
• pp.599-613
• /
• 2018

We study a generalization of the classical Pentagonal Number Theorem and its applications. We derive new identities for certain infinite series, recurrence relations and convolution sums for certain restricted partitions and divisor sums. We also derive new identities for Bell polynomials.

• 한국국방경영분석학회지
• /
• 제13권1호
• /
• pp.91-100
• /
• 1987

This paper deals with an algorithm for solving nonlinear programming problems with equality constraints. Nonlinear programming problems are transformed into a square sums of nonlinear functions by the Lagrangian multiplier method. And an iteration method minimizing this square sums is suggested and then an algorithm is proposed. Also theoretical basis of the algorithm is presented.