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.GM2024

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…