Dal-Won Park

A note on Euler number and polynomials

We investigate some properties of non-Archimedean integration which is defined by Kim. By using our results in this paper, we can give an answer to the problem which is introduced by I.-C. Huang and S.-Y. Huang in 1999.

Kummer congruence for the Bernoulli numbers of higher order

The authors studied the properties of Bernoulli numbers of higher order [Appl. Math. Comput., in press; Bull. Aust. Math. 65 (2002) 59]. For q=1, we can also find their results [Proc. Jangjeon Math. Soc. 1 (2000) 97; Arch. Math. 76 (2001) 190; Proc. Jangjeon Math. Soc. 1 (2000) 161; Adv. Stud. Contemp. Math. 2 (2000) 9; Proc. Jangjeon Math. Soc. 2 (2001) 23; J. Math. Phys. A 34 (2001) L643; Proc. Jangjeon Math. Soc. 2 (2001) 19; Proc. Jangjeon Math. Soc. 2 (2001) 9; Proc. Jangjeon Math. Soc. 3 (2001) 63]. The authors suggested the question to inquire the proof of Kummer congruence for Bernoulli numbers of higher order [Appl. Math. Comput., in press]. In this paper we give a proof of Kummer type congruence for the Bernoulli numbers of higher order, which is an answer to a part of the question in [Appl. Math. Comput., in press].

On multivariate p-adic q-integrals

By using multiple p-adic q-integrals, we define the p-adic q-L-function in n-variables and the q-extension of p-adic log multiple gamma functions. From these definitions, we show that the values of the p-adic q-L-function at positive integers can be expressed in terms of the q-extension of p-adic log multiple gamma functions.

GENERALIZED NET MODEL OF INTRANET IN AN ABSTRACT UNIVERSITY WITH CURRENT ESTIMATIONS

We apply estimations of the intuitionistic fuzzy sets on the basis of which some amendments may be undertaken.

A Note on E-Learning Dynamic Assessment with Fuzzy Estimations

A model of an assessment module has been created, using intuitionisric fuzzy estimations, which render account on the knowledge of the trained objects. The final mark is determined on the basis of a set of evaluation units. An opportunity is offered no only for tracing the changes of the parameters of the trainer object, but there is also an opportunity of tracing the status of the already comprehended knowledge, as well as evaluating and changing the training themes and evaluation criteria

On the Hyers‐Ulam Stability of a bi‐Jensen Functional Equation

In this paper, we prove the stability of a bi‐Jensen functional equation 4f(x+y2,z+w2) = f(x,z)+f(x,w)+f(y,z)+f(y,w).

On a bi-Pexider functional equation and its stability

In this paper, we prove the stability of a bi‐Pexider functional equation f(x+y,z+w) = f1(x,z)+f2(x,w)+f3(y,z)+f4(y,w).

Modelling of intelligent training system by a generalized net

A generalized net model of a training process with modified fuzzy marks in answers of the trained objects and their current and total modified fuzzy evaluation, therning themes, estimation criteria and others are discussed and interpreted.