1 citations · 2 across the 10 of their papers we have counts for
10 papers
Initial Value Problems for Some Functional Equations and the PENLP
Hailu Bikila Yadeta
In this paper, we study initial value problems for a class of functional equations. We introduce the concept of appropriate initial sets to enable the unique extension of an initia…
Analysis of the Distribution and Asymptotic Approximations of Roots of the Polynomial Equation in the Complex Plane
Hailu Bikila Yadeta
We study the spatial distribution of the positive, negative and non-real complex roots of the sequence the th degree polynomial equation $$ z^{n+1}=(1+z)^n,\quad n \i…
On the Generalization of Weinberger's Inequality with Alternating Signs
Hailu Bikila Yadeta
For given set of positive numbers satisfying the conditions: the inequality $$ \sum_{s=1}^{m} (-1)^{s-1}a^r_s \geq \left[ \sum_{s…
New Indefinite Summation Formulas and Some Applications
Hailu Bikila Yadeta
In this paper, we introduce a novel indefinite summation (or antidifference ) formula for any given function . We apply the indefinite summation fo…
Equality of the Casoratian and the Wronsikian for some Sets of Functions and an Application in Difference Equations
Hailu Bikila Yadeta
The Casoratian determinants are very important in the study of linear difference equation, just as the Wronskian determinants are very important in the study of linear ordinary dif…
New characterizations of the ring of the split-complex numbers and the field of complex numbers and their comparative analyses
Hailu Bikila Yadeta
In this paper, we give a new characterization of the split-complex numbers as a vector space of operators, where is the identit…
Direct sum Decomposition of Spaces of Periodic Functions: $$ \mathbb{P}_n = \bigoplus \limits_{d|n} \ker(Φ_d(E))
Hailu Bikila Yadeta
It was proved that the space of all periodic function of fundamental period is a direct sum of the space of all periodic functions of fu…
Real Analytic Methods in the Formulations of some Combinatorial Inequalities
Hailu Bikila Yadeta
In this paper, we derive some new combinatorial inequalities by applying well known real analytic results like Hölder's inequality, Young's inequality, and Minkowiski's inequality…
Analysis of the Differential-Difference Equation
Hailu Bikila Yadeta
In this paper we study some solution techniques of differential-difference equation first without an initial condition and then with some initia…
Decomposition of Spaces of Periodic Functions into Subspaces of Periodic and Antiperiodic Functions and Its Connection to the Rademacher System and the Haar Wavelet Basis
Hailu Bikila Yadeta
We prove that the space of -periodic functions decomposes as the direct sum , where denotes…