Non-Newtonian Lebesgue spaces with their basic features

Authors

  • İlker ERYILMAZ Ondokuz Mayıs University

DOI:

https://doi.org/10.30495/jme.v18i0.3005

Keywords:

Non-Newtonian numbers, generator function, $\ast -$calculus, $\ast-$ H\"{o}lder's inequality, $\ast -$Minkowski inequality, Non-Newtonian Lebesgue space

Abstract

Non-Newtonian Lebesgue spaces have emerged as a pivotal field in functional analysis, extending the classical Lebesgue spaces to encompass non-Newtonian Real numbers behaviors encountered in various physical and mathematical phenomena. This paper offers a comprehensive investigation into the properties, characteristics, and significance of Non-Newtonian Lebesgue spaces.

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Published

2024-12-08

Issue

Vol. 18

Section

Vol. 18, No. 7, (2024)

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