• Journal of applied mathematics & informatics
• /
• v.8 no.1
• /
• pp.273-283
• /
• 2001

We introduce sums and joins of T-fuzzy transformation semi-groups and investigate their algebraic structures.

• Journal of the Korean Statistical Society
• /
• v.23 no.2
• /
• pp.523-528
• /
• 1994

The purpose of this note is to provide a general weak law of randomly indexed partial sums for arrays.

• Bulletin of the Korean Mathematical Society
• /
• v.53 no.6
• /
• pp.1893-1908
• /
• 2016

In this paper, we obtain some behaviours of theta sums of higher index for the $Schr{\ddot{o}}dinger$-Weil representation of the Jacobi group associated with a positive definite symmetric real matrix of degree m.

• Korean Journal of Mathematics
• /
• v.9 no.1
• /
• pp.1-7
• /
• 2001

In this paper, we define and study Gauss sums over Galois rings of characteristic 4. In particular, we give the absolute value of Gauss sum over Galois rings of characteristic 4.

• Communications of the Korean Mathematical Society
• /
• v.25 no.2
• /
• pp.215-224
• /
• 2010

Generalized nonnegative polynomials are defined as products of nonnegative polynomials raised to positive real powers. The generalized degree can be defined in a natural way. In this paper we extend quadrature sums involving pth powers of polynomials to those for generalized polynomials.

• Proceedings of the Korean Statistical Society Conference
• /
• 2003.10a
• /
• pp.183-188
• /
• 2003

In this paper, we establish some results on strong convergence for weighted sums of uniformly integrable fuzzy random variables taking values in the space of upper-semicontinuous fuzzy sets in R$^{p}$.

• Kyungpook Mathematical Journal
• /
• v.54 no.1
• /
• pp.31-41
• /
• 2014

In this paper criterion for $L_1$-convergence of a certain cosine sums with quasi hyper-convex coefficients is obtained.

• Korean Journal of Mathematics
• /
• v.16 no.4
• /
• pp.537-543
• /
• 2008

Guan and Li [2] obtained SLLN for weighted sums of level-wise independent fuzzy random variables. In this paper, a generalization of Guan and Li [2] is obtained by using the Skorokhod metric on F(R).

• Communications for Statistical Applications and Methods
• /
• v.19 no.2
• /
• pp.247-256
• /
• 2012

In this paper we prove the complete convergence for weighted sums of pairwise negatively quadrant dependent random variables. Some results on identically distributed and negatively associated setting of Liang and Su (1999) are generalized and extended to the pairwise negative quadrant dependence case.

• Honam Mathematical Journal
• /
• v.42 no.1
• /
• pp.49-62
• /
• 2020

In this paper, we consider interesting binomial and alternating binomial triple sums evaluated in multiplication forms in terms of the Fibonacci and Lucas numbers.