• Journal of the Korean Mathematical Society
• /
• v.33 no.1
• /
• pp.57-68
• /
• 1996

In the classical analysis there are various theorems which permit us to interchange limits and infinite sums, limits and integrals, integrals and infinite sums, etc. The infinite products as well as the infinite series play an important role in different branches of mathematics.

• Kyungpook Mathematical Journal
• /
• v.47 no.3
• /
• 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.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.11 no.2
• /
• 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.

• Journal of the Chungcheong Mathematical Society
• /
• v.29 no.3
• /
• 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.

• Honam Mathematical Journal
• /
• v.26 no.3
• /
• pp.287-298
• /
• 2004

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

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 2001.05a
• /
• pp.25-28
• /
• 2001

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

• Journal of the Chungcheong Mathematical Society
• /
• v.21 no.2
• /
• 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.

• Journal of the Chungcheong Mathematical Society
• /
• v.26 no.1
• /
• 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.

• Bulletin of the Korean Mathematical Society
• /
• v.56 no.2
• /
• 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
• /
• v.58 no.4
• /
• 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.