Novel inequalities for subadditive functions via tempered fractional integrals and their numerical investigations

Artion Kashuri; Soubhagya Kumar Sahoo; Pshtiwan Othman Mohammed; Eman Al-Sarairah; Nejmeddine Chorfi

doi:10.3934/math.2024643

Novel inequalities for subadditive functions via tempered fractional integrals and their numerical investigations

Artion Kashuri
, Soubhagya Kumar Sahoo
, Pshtiwan Othman Mohammed
, Eman Al-Sarairah
, Nejmeddine Chorfi

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, we proposed some new integral inequalities for subadditive functions and the product of subadditive functions. Additionally, a novel integral identity was established and a number of inequalities of the Hermite-Hadamard type for subadditive functions pertinent to tempered fractional integrals were proved. Finally, to support the major results, we provided several examples of subadditive functions and corresponding graphs for the newly proposed inequalities.

Original language	British English
Pages (from-to)	13195-13210
Number of pages	16
Journal	AIMS Mathematics
Volume	9
Issue number	5
DOIs	https://doi.org/10.3934/math.2024643
State	Published - 2024

Keywords

estimations
Hermite-Hadamard inequality
Hölder’s inequality
power-mean inequality
subadditivity
tempered fractional integral operators

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10.3934/math.2024643

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title = "Novel inequalities for subadditive functions via tempered fractional integrals and their numerical investigations",

abstract = "In this paper, we proposed some new integral inequalities for subadditive functions and the product of subadditive functions. Additionally, a novel integral identity was established and a number of inequalities of the Hermite-Hadamard type for subadditive functions pertinent to tempered fractional integrals were proved. Finally, to support the major results, we provided several examples of subadditive functions and corresponding graphs for the newly proposed inequalities.",

keywords = "estimations, Hermite-Hadamard inequality, H{\"o}lder{\textquoteright}s inequality, power-mean inequality, subadditivity, tempered fractional integral operators",

author = "Artion Kashuri and Sahoo, \{Soubhagya Kumar\} and Mohammed, \{Pshtiwan Othman\} and Eman Al-Sarairah and Nejmeddine Chorfi",

note = "Publisher Copyright: {\textcopyright} 2024 the Author(s), licensee AIMS Press.",

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language = "British English",

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T1 - Novel inequalities for subadditive functions via tempered fractional integrals and their numerical investigations

AU - Kashuri, Artion

AU - Sahoo, Soubhagya Kumar

AU - Mohammed, Pshtiwan Othman

AU - Al-Sarairah, Eman

AU - Chorfi, Nejmeddine

PY - 2024

Y1 - 2024

N2 - In this paper, we proposed some new integral inequalities for subadditive functions and the product of subadditive functions. Additionally, a novel integral identity was established and a number of inequalities of the Hermite-Hadamard type for subadditive functions pertinent to tempered fractional integrals were proved. Finally, to support the major results, we provided several examples of subadditive functions and corresponding graphs for the newly proposed inequalities.

AB - In this paper, we proposed some new integral inequalities for subadditive functions and the product of subadditive functions. Additionally, a novel integral identity was established and a number of inequalities of the Hermite-Hadamard type for subadditive functions pertinent to tempered fractional integrals were proved. Finally, to support the major results, we provided several examples of subadditive functions and corresponding graphs for the newly proposed inequalities.

KW - estimations

KW - Hermite-Hadamard inequality

KW - Hölder’s inequality

KW - power-mean inequality

KW - subadditivity

KW - tempered fractional integral operators

UR - https://www.scopus.com/pages/publications/85189945510

U2 - 10.3934/math.2024643

DO - 10.3934/math.2024643

M3 - Article

AN - SCOPUS:85189945510

SN - 2473-6988

VL - 9

SP - 13195

EP - 13210

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 5

ER -

Novel inequalities for subadditive functions via tempered fractional integrals and their numerical investigations

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