In this study, we present certain properties of Generalized Fibonacci sequence. Generalized Fibonacci sequence is defined by recurrence relation . This was introduced by Gupta, Panwar and Sikhwal. We shall use the Induction method and Binet’s formula and give several interesting identities involving them.
The Fibonacci number is famous for possessing wonderful and amazing properties. In this study, we introduce the k-Fibonacci-Like number and related identities. We establish some of the interesting properties of k-Fibonacci-Like number. We shall use the Induction method and Binet’s formula for derivation.
In this paper we have obtained some fixed point theorems on b- metric space which is an extension of a fixed point theorem by Hardy [13] and Reich [20].
This paper uses the mathematical software Maple for the auxiliary tool to study six types of definite integrals. We can determine the infinite series forms of these definite integrals by using Parseval’s theorem. On the other hand, we provide some definite integrals to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying these solutions using Maple.
In this paper, we generalize a Goss result appeared in ([5], page 325, line 19, for i=1 ), and give a characterization of some numbers of Bernoulli-Goss [5] by introducing the special numbers M(d).
In the paper, via Riemann-Liouville fractional integration, the authors present some new inequalities of Hermite-Hadamard type for functions whose derivatives in absolute value are (m, h1, h2)-convex.
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