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math.CA2024
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…
math.CA2024
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…