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In this paper, the idea of lacunary I λ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary I λ -statistical convergence with lacunary I λ -summable sequences. Moreover, we study the I λ -lacunary statistical convergence in probabilistic normed space and discuss some topological properties.

The paper investigates some classes of real number sequences over 2-normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space. Relevant properties of such classes have been investigated. Moreover, relationships among different such classes of sequences have also been studied under...

In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with initial and boundary conditions. Numerical experiments are studied to show the efficiency of the technique. The acquired results are compared with the exact solutions and results obtained by different methods. These results indicate that the reproducing kernel method is very effective.

on Z p associated with applications of umbral calculus
Serkan Araci 1
Mehmet Acikgoz 1
**Adem** **Kilicman** 0
0 Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia

The fundamental aim of this paper is to consider some applications of umbral calculus by utilizing from the extended p-adic q-invariant integral on Zp. From those considerations, we derive some new interesting properties on the extended p-adic q-Bernoulli numbers and polynomials. That is, a systemic study of the class of Sheffer sequences in connection with generating function of...

Hindawi Publishing Corporation
Journal of Inequalities and Applications
Volume 2006
EXTENSION AND GENERALIZATION INEQUALITIES INVOLVING THE KHATRI-RAO PRODUCT OF SEVERAL POSITIVE MATRICES
0 **Adem** ... **Kilicman**: Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM) , 43400 Serdang, Selangor, Malaysia E-mail address:
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