Some variants on Mercer’s Hermite-Hadamard like inclusions of interval-valued functions for strong Kernel

Jamshed Nasir; Saber Mansour; Shahid Qaisar; Hassen Aydi

doi:10.3934/math.2023506

Some variants on Mercer’s Hermite-Hadamard like inclusions of interval-valued functions for strong Kernel

Jamshed Nasir
, Saber Mansour^*
, Shahid Qaisar
, Hassen Aydi^*

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

Using Atangana-Baleanu (AB) fractional integral operators, we first establish some fractional Hermite-Hadamard-Mercer inclusions for interval-valued functions in this study. In this, some fresh developments of the Hermite-Hadamard inequality for fractional integral operators are presented. A few instances are also given to support our conclusions. The resulting results could provide new insight into a variety of integral inequalities for fuzzy interval-valued functions, fractional interval-valued functions, and the optimization issues they raise. Finally, matrices-related applications are also shown.

Original language	English
Pages (from-to)	10001-10020
Number of pages	20
Journal	AIMS Mathematics
Volume	8
Issue number	5
DOIs	https://doi.org/10.3934/math.2023506
Publication status	Published - 2023
Externally published	Yes

Keywords

Atangana-Baleanu fractional integral operator
Mercer’s Hermite-Hadamard inequality
convex function
interval-valued function

Access to Document

10.3934/math.2023506

Cite this

@article{f1c2e1e19f1b4159a0490eb75bfc2ec8,

title = "Some variants on Mercer{\textquoteright}s Hermite-Hadamard like inclusions of interval-valued functions for strong Kernel",

abstract = "Using Atangana-Baleanu (AB) fractional integral operators, we first establish some fractional Hermite-Hadamard-Mercer inclusions for interval-valued functions in this study. In this, some fresh developments of the Hermite-Hadamard inequality for fractional integral operators are presented. A few instances are also given to support our conclusions. The resulting results could provide new insight into a variety of integral inequalities for fuzzy interval-valued functions, fractional interval-valued functions, and the optimization issues they raise. Finally, matrices-related applications are also shown.",

keywords = "Atangana-Baleanu fractional integral operator, Mercer{\textquoteright}s Hermite-Hadamard inequality, convex function, interval-valued function",

author = "Jamshed Nasir and Saber Mansour and Shahid Qaisar and Hassen Aydi",

note = "Publisher Copyright: {\textcopyright} 2023 the Author(s), licensee AIMS Press.",

year = "2023",

doi = "10.3934/math.2023506",

language = "English",

volume = "8",

pages = "10001--10020",

journal = "AIMS Mathematics",

issn = "2473-6988",

publisher = "American Institute of Mathematical Sciences",

number = "5",

}

TY - JOUR

T1 - Some variants on Mercer’s Hermite-Hadamard like inclusions of interval-valued functions for strong Kernel

AU - Nasir, Jamshed

AU - Mansour, Saber

AU - Qaisar, Shahid

AU - Aydi, Hassen

PY - 2023

Y1 - 2023

N2 - Using Atangana-Baleanu (AB) fractional integral operators, we first establish some fractional Hermite-Hadamard-Mercer inclusions for interval-valued functions in this study. In this, some fresh developments of the Hermite-Hadamard inequality for fractional integral operators are presented. A few instances are also given to support our conclusions. The resulting results could provide new insight into a variety of integral inequalities for fuzzy interval-valued functions, fractional interval-valued functions, and the optimization issues they raise. Finally, matrices-related applications are also shown.

AB - Using Atangana-Baleanu (AB) fractional integral operators, we first establish some fractional Hermite-Hadamard-Mercer inclusions for interval-valued functions in this study. In this, some fresh developments of the Hermite-Hadamard inequality for fractional integral operators are presented. A few instances are also given to support our conclusions. The resulting results could provide new insight into a variety of integral inequalities for fuzzy interval-valued functions, fractional interval-valued functions, and the optimization issues they raise. Finally, matrices-related applications are also shown.

KW - Atangana-Baleanu fractional integral operator

KW - Mercer’s Hermite-Hadamard inequality

KW - convex function

KW - interval-valued function

UR - https://www.scopus.com/pages/publications/85148644826

U2 - 10.3934/math.2023506

DO - 10.3934/math.2023506

M3 - Article

AN - SCOPUS:85148644826

SN - 2473-6988

VL - 8

SP - 10001

EP - 10020

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 5

ER -

Some variants on Mercer’s Hermite-Hadamard like inclusions of interval-valued functions for strong Kernel

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this