output
20002026
most citedHermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte Type Inequalities for Convex Functions via Fractional Integrals

111 citations

104 papers

math.CO2026

On equidistribution theorem for plane partitions

Alimzhan Amanov, Damir Yeliussizov

We prove equidistribution of two pairs of statistics on boxed plane partitions: (volume, trace) and (corner-hook volume, number of corners). The proof relies on different 3d visual…

math.AP2025

Parabolic problems whose Fujita critical exponent is not given by scaling

Ahmad Z. Fino, Berikbol T. Torebek

This paper investigates the (fractional) heat equation with a nonlocal nonlinearity involving a Riesz potential: \begin{equation*} u_{t}+(-Δ)^{\fracβ{2}} u= I_α(|u|^{p}),\qquad x\i…

math.AP2025

A note on lifespan estimates for higher-order parabolic equations

Nurdaulet N. Tobakhanov, Berikbol T. Torebek

We investigate the lifespan of solutions to the higher-order semilinear parabolic equation with initial data. We focus on the…

math.RA2025

Derived operations satisfy standard identities

Vladimir Dotsenko

A derived operation is a bilinear operation on a commutative associative algebra defined intrinsically out of its product and several derivations of the product. We show that o…

gr-qc2025

Reconciling the ACT Preference in Gravity: Inflation and Reheating Constraints

Feng-Yi Zhang, Rongrong Zhai, Li-Yang Chen

Compared with the results of Planck-only analyses, recent measurements from the Atacama Cosmology Telescope (ACT) indicate a preference for a slightly bluer scalar spectral index,…

math.DG2025★ 2 cited

Integrability of the magnetic geodesic flow on the sphere with a constant 2-form

Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev

We prove a recent conjecture of Dragovic et al arXiv2504.20515 stating that the magnetic geodesic flow on the standard sphere whose magnetic 2-form is…