one may find out the application‎ ‎of mathematics in the areas of ecology‎, ‎biology‎, ‎environmental‎ ‎sciences etc‎. ‎mathematics is particulary used in the problem of‎ ‎predator-prey known as lotka-volterra predator-prey equations.‎ ‎indeed‎, ‎differential equations is employed very much in many areas‎ ‎of other sciences‎. ‎however‎, ‎most of natural problems involve some‎ ‎unknown functions...

Hyers-Ulam-Rassias stability have been studied in the contexts of several areas of mathematics. The concept of fuzziness and its extensions have been introduced to almost all branches of mathematics in recent times.Here we define the cubic functional equation in 2-variables and establish that Hyers-Ulam-Rassias stability holds for such equations in intuitionistic fuzzy Banach spaces.

The concept of fuzzy sets and fuzzy set operations were first introduced by Zadeh [30], fuzzy logic has become an important area of research in various branches of Mathematics such as metric and topological spaces, theory of functions, approximation theory etc. Subsequently several authors have discussed various aspects of the theory and applications of fuzzy sets. The concept of fuzzyiness has...

We give an improvement of some inequalities similar to Hilbert’s inequality involving series of nonnegative terms. The integral analogies of the main results are also given. 2000 Mathematics Subject Classification. 26D15.

In this paper we deal with a main theorem on the local property of ∣∣N, pn∣∣k, k ≥ 1 summability of factored Fourier series, which generalizes some known results. Mathematics Subject Classification: 40D15, 40G99, 42A24, 42B15

We give some new estimates for the Truncation Error of sampling series of functions on regular sampling subspaces of L2(R). These estimates lower the well known Jagerman’s bound on Shannon’s sampling expansions. Mathematics Subject Classification: 41A17, 41A80, 65G99.

We provide finite analogs of a pair of two-variable q-series identities from Ramanujan’s lost notebook and a companion identity. “The progress of mathematics can be viewed as progress from the infinite to the finite.” —Gian-Carlo Rota (1983)

This paper looks at one of the jewels of mathematics, the Fourier series / transform and briefly surveys its applications and looks at possible ways of enhancing the performance of the fast Fourier transform

In this paper, we give explicit formulas for the secondary and the primary Whittaker functions for PJ -principal series representations of Sp(3,R). 2000 Mathematics Subject Classification: Primary 11F70.