Hailu Bikila Yadeta

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20222025

most citedDirect sum Decomposition of Spaces of Periodic Functions: $$ \mathbb{P}_n = \bigoplus \limits_{d|n} \ker(Φ_d(E))

1 citations · 2 across the 10 of their papers we have counts for

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math.CA2024

On the Generalization of Weinberger's Inequality with Alternating Signs

Hailu Bikila Yadeta

For given set of $m$ positive numbers satisfying the conditions: $a_{1} \geq a_{2} \geq, ... \geq a_{m} \geq 0,$ the inequality $$ \sum_{s=1}^{m} (-1)^{s-1}a^r_s \geq \left[ \sum_{s…

math.CA2024

New Indefinite Summation Formulas and Some Applications

Hailu Bikila Yadeta

In this paper, we introduce a novel indefinite summation $\sum_{t} f (t)$ (or antidifference $Δ^{- 1} f (t)$ ) formula for any given function $f$ . We apply the indefinite summation fo…

math.CA2022

Analysis of the Differential-Difference Equation $y (x + 1/2) - y (x - 1/2) = y^{'} (x)$

Hailu Bikila Yadeta

In this paper we study some solution techniques of differential-difference equation $y^{'} (x) = y (x + 1/2) - y (x - 1/2),$ first without an initial condition and then with some initia…

On the Generalization of Weinberger's Inequality with Alternating Signs

New Indefinite Summation Formulas and Some Applications

Analysis of the Differential-Difference Equation y(x+1/2)−y(x−1/2)=y′(x)

Analysis of the Differential-Difference Equation $y (x + 1/2) - y (x - 1/2) = y^{'} (x)$