A unifying approach to the difference operators and their applications

Authors

  • Pinakadhar Baliarsingh KIIT University School of Applied Sciences Department of Mathematics
  • S. Dutta Utkal University Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v33i1.19884

Keywords:

Difference operators $\Delta^\alpha$ and $\Delta^{(\alpha)}$, Product of two sequence spaces, interpolating polynomials

Abstract

In the present paper, we introduce the idea of difference operators $\Delta^\alpha$ and $\Delta^{(\alpha)} (\alpha\in\mathbb{R})$  and establish certain results which have several applications in Functional as well as Numerical analysis. Indeed, the operator $\Delta^\alpha$ generalizes several difference operators defined by K\i zmaz [1], Et [2], Et and \c{C}olak [3], Malkowsky and Parashar [4], Et [5], Malkowsky et al. [6], Baliarsingh [7] and many others (see [8-15]).

Author Biography

  • Pinakadhar Baliarsingh, KIIT University School of Applied Sciences Department of Mathematics
    Department of Mathematics, KIIT University, Bhubaneswar, India

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Published

2013-12-29

Issue

Vol. 33 No. 1 (2015)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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