A. A. Abdelhakim

activity

20152025

most citedThe flaw in the conformable calculus: it is conformable because it is not fractional

106 citations · 213 across the 11 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

math.FA2015

A convexity of functions on convex metric spaces of Takahashi and applications

Ahmed A. Abdelhakim

We quickly review and make some comments on the concept of convexity in metric spaces due to Takahashi. Then we introduce a concept of convex structure based convexity to functions…

math.AP2015

$L^{p}$ - $L^{q}$ boundedness of integral operators with oscillatory kernels: Linear versus quadratic phases

Ahmed A. Abdelhakim

Let $T_{N}^{j, k} : L^{p} (B) \to L^{q} ([0, 1])$ be the oscillatory integral operators defined by $\;\displaystyle T^{j,k}_{N}f(s):=\int_{B} \,f(x)\,e^{\imath N{|x|}^{j}s…

math.FA2015

On the summablility of truncated double Fourier series

Ahmed A. Abdelhakim

We estimate the truncated double trigonometric series $\sum_{n = 0}^{N} \sum_{m = 0}^{M} a_{mn} e^{2 π  (m x + n y)}$ , $a_{mn} \in C$ , in Lebesgue spaces with mixe…

A convexity of functions on convex metric spaces of Takahashi and applications

Lp-Lq boundedness of integral operators with oscillatory kernels: Linear versus quadratic phases

On the summablility of truncated double Fourier series

$L^{p}$ - $L^{q}$ boundedness of integral operators with oscillatory kernels: Linear versus quadratic phases