New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals

Mehmet Eyüp Kiriş; Miguel Vivas-Cortez; Tuğba Yalçin Uzun; Gözde Bayrak; Hüseyin Budak

doi:10.1186/s13661-024-01875-x

New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals

Mehmet Eyüp Kiriş, Miguel Vivas-Cortez^*, Tuğba Yalçin Uzun, Gözde Bayrak, Hüseyin Budak

^*Corresponding author for this work

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

1 Scopus citations

Abstract

In the current research, some midpoint-type inequalities are generalized for co-ordinated convex functions with the help of generalized conformable fractional integrals. Moreover, some findings of this paper include results based on Riemann–Liouville fractional integrals and Riemann integrals.

Original language	English
Article number	65
Journal	Boundary Value Problems
Volume	2024
Issue number	1
DOIs	https://doi.org/10.1186/s13661-024-01875-x
State	Published - Dec 2024

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.

Keywords

26B25
26D07
26D10
26D15
Conformable fractional integrals
Convex functions
Fractional integrals
Midpoint-type inequalities
Riemann–Liouville fractional integrals

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10.1186/s13661-024-01875-x

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abstract = "In the current research, some midpoint-type inequalities are generalized for co-ordinated convex functions with the help of generalized conformable fractional integrals. Moreover, some findings of this paper include results based on Riemann–Liouville fractional integrals and Riemann integrals.",

keywords = "26B25, 26D07, 26D10, 26D15, Conformable fractional integrals, Convex functions, Fractional integrals, Midpoint-type inequalities, Riemann–Liouville fractional integrals",

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AU - Vivas-Cortez, Miguel

AU - Uzun, Tuğba Yalçin

AU - Bayrak, Gözde

AU - Budak, Hüseyin

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/12

Y1 - 2024/12

N2 - In the current research, some midpoint-type inequalities are generalized for co-ordinated convex functions with the help of generalized conformable fractional integrals. Moreover, some findings of this paper include results based on Riemann–Liouville fractional integrals and Riemann integrals.

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KW - 26B25

KW - 26D07

KW - 26D10

KW - 26D15

KW - Conformable fractional integrals

KW - Convex functions

KW - Fractional integrals

KW - Midpoint-type inequalities

KW - Riemann–Liouville fractional integrals

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DO - 10.1186/s13661-024-01875-x

M3 - Article

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SN - 1687-2762

VL - 2024

JO - Boundary Value Problems

JF - Boundary Value Problems

IS - 1

M1 - 65

ER -

New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals

Abstract

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Keywords

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