Complete Asymptotic Expansion for Exponential-Type Operators Related to ๐‘ฅ4/3

In the present paper, we study the asymptotic properties of an exponential-type operator which was recently constructed. It is connected with ๐‘(๐‘ฅ) = ๐‘ฅ 4/3 . The main result is a pointwise complete asymptotic expansion valid for locally smooth functions. All coefficients are derived and explicitly given.

Authors

Institutions

Publication Details

Journal
Mathematica Pannonica
Published
2025-05-15
DOI
https://doi.org/10.1556/314.2025.00008
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Complete Asymptotic Expansion for Exponential-Type Operators Related to ๐‘ฅ4/3

Ulrich Abel, Vitaliy Kushnirevych
Mathematica Pannonica
Advanced Mathematical Modeling in Engineering
article

Complete Asymptotic Expansion for Exponential-Type Operators Related to ๐‘ฅ4/3

Ulrich Abel, Vitaliy Kushnirevych
article en

Abstract

In the present paper, we study the asymptotic properties of an exponential-type operator which was recently constructed. It is connected with ๐‘(๐‘ฅ) = ๐‘ฅ 4/3 . The main result is a pointwise complete asymptotic expansion valid for locally smooth functions. All coefficients are derived and explicitly given.

Mathematica PannonicaVol. 31_NS5(1)
Technische Hochschule Mittelhessen (DE)
Openalex Percentile: Top 88%
Advanced Mathematical Modeling in Engineering
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Complete Asymptotic Expansion for Exponential-Type Operators Related to ๐‘ฅ4/3 โ€” Ulrich Abel, Vitaliy Kushnirevych ยท Mathematica Pannonica (2025) | TGRS Research Map | TGRS