Articles

New Connections Among Multivalued Functions, Hyperstructures and Fuzzy Sets

One has considered three different hypergroups associated with a multivalued function ¡ : H ! D and one has calculated the corresponding membership functions and the associated join spaces.

Piergiulio Corsini
Bijan Davvaz

An Extension of Mulholland's Inequality

By introducing multi-parameters and using the way of weight coefficients and Hadamard’s inequality, a more accurate extension of Mulholland’s inequality and the equivalent form are considered.

Bicheng Yang

Characterization of Multiwavelet Packets in L² (R^d)

Orthogonal multiwavelet packets are based on several scaling functions and several wavelets. They allow properties like regularity, orthogonality and symmetry being impossible in the single wavelet case. In this paper, we establish a complete characterization of multiwavelet packets for arbitrary dilation matrices by means of basic equations in Fourier domain.

Firdous Ahmad Shah
Khalil Ahmad 

Decomposition of α − Continuity and g_α - Continuity

The main purpose of this paper is to introduce the concepts of CŊ**- sets, CŊ**-sets, CŊ**-continuity and CŊ**-continuity and to obtain decomposition of α-continuity and ˜g_α- continuity in topological spaces.  

O. Ravi
G. Ramkumar
& R. Latha

A Remark on a Result of Al-Omari

This is a note to explain a mathematical correction in the paper entitled The Generalized Stieltjes and Fourier Transforms of Certain Spaces of Generalized Functions, by S. K. Q. Al-Omari in Jordan Journal of Mathematics and Statistics 2 (2) , 2009, 55-66. Complete mathematical derivation is given to explain and justify the correction.

Deshna Loonker