$New midpoint type Hermite-Hadamard-Mercer inequalities pertaining to Caputo-Fabrizio fractional operators$

New midpoint type Hermite-Hadamard-Mercer inequalities pertaining to Caputo-Fabrizio fractional operators

The objective of the current article is to incorporate the concepts of convexity and Jensen-Mercer inequality with the Caputo-Fabrizio fractional integral operator. Moreover, we present new midpoint versions of Hermite-Hadamard-Mercer (H-H-M) type inequalities for convex functions and the product of...

Full description

Bibliographic Details
Main Authors:	Soubhagya Kumar Sahoo, Y.S. Hamed, Pshtiwan Othman Mohammed, Bibhakar Kodamasingh, Kamsing Nonlaopon
Format:	Article
Language:	English
Published:	Elsevier 2023-02-01
Series:	Alexandria Engineering Journal
Subjects:	Hermite-Hadamard-Mercer inequality Caputo-Fabrizio operator Hölder’s inequality Hölder-İşcan inequality Modified Bessel functions
Online Access:	http://www.sciencedirect.com/science/article/pii/S1110016822006755

Similar Items

New Fractional Integral Inequalities for Convex Functions Pertaining to Caputo–Fabrizio Operator
by: Soubhagya Kumar Sahoo, et al.
Published: (2022-03-01)

New “Conticrete” Hermite–Hadamard–Jensen–Mercer Fractional Inequalities
by: Shah Faisal, et al.
Published: (2022-02-01)

New Estimations of Hermite–Hadamard Type Integral Inequalities for Special Functions
by: Hijaz Ahmad, et al.
Published: (2021-09-01)

Hadamard–Mercer, Dragomir–Agarwal–Mercer, and Pachpatte–Mercer Type Fractional Inclusions for Convex Functions with an Exponential Kernel and Their Applications
by: Soubhagya Kumar Sahoo, et al.
Published: (2022-04-01)

A Note on the New Ostrowski and Hadamard Type Inequalities via the Hölder–İşcan Inequality
by: Çetin Yildiz, et al.
Published: (2023-09-01)

A Comprehensive Analysis of Hermite–Hadamard Type Inequalities via Generalized Preinvex Functions
by: Muhammad Tariq, et al.
Published: (2021-11-01)

Hermite–Hadamard Type Inequalities Involving <i>k</i>-Fractional Operator for (<inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi mathvariant="bold-italic">h</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula>,<i>m</i>)-Convex Functions
by: Soubhagya Kumar Sahoo, et al.
Published: (2021-09-01)

Fractional Jensen-Mercer Type Inequalities Involving Generalized Raina’s Function and Applications
by: Kamsing Nonlaopon, et al.
Published: (2022-10-01)

Inequalities of Simpson-Mercer-type including Atangana-Baleanu fractional operators and their applications
by: Muhammad Tariq, et al.
Published: (2022-06-01)

Better Approaches for <i>n</i>-Times Differentiable Convex Functions
by: Praveen Agarwal, et al.
Published: (2020-06-01)

Some New Hermite-Hadamard Type Inequalities Pertaining to Fractional Integrals with an Exponential Kernel for Subadditive Functions
by: Artion Kashuri, et al.
Published: (2023-03-01)

Hermite–Hadamard–Mercer Inequalities Associated with Twice-Differentiable Functions with Applications
by: Muhammad Aamir Ali, et al.
Published: (2024-02-01)

New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization
by: Saeed Tareq, et al.
Published: (2023-05-01)

Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings
by: Xuexiao You, et al.
Published: (2021-10-01)

A study of new quantum Montgomery identities and general Ostrowski like inequalities
by: Muhammad Uzair Awan, et al.
Published: (2024-05-01)

Some New Hermite–Hadamard Type Inequalities Pertaining to Generalized Multiplicative Fractional Integrals
by: Artion Kashuri, et al.
Published: (2023-04-01)

New inequalities via Caputo-Fabrizio integral operator with applications
by: Hong Yang, et al.
Published: (2023-06-01)

Hermite-Hadamard Fractional Inequalities for Differentiable Functions
by: Muhammad Samraiz, et al.
Published: (2022-01-01)

Some New Integral Inequalities for $n$-Times Differentiable Trigonometrically Convex Functions
by: Kerim Bekar
Published: (2020-09-01)

A Quantum Calculus View of Hermite–Hadamard–Jensen–Mercer Inequalities with Applications
by: Bandar Bin-Mohsin, et al.
Published: (2022-06-01)

Hermite-Hadamard's inequalities for conformable fractional integrals
by: Mehmet Zeki Sarıkaya, et al.
Published: (2019-01-01)

Fractional Hermite-Hadamard type inequalities for functions whose derivatives are extended s-(?,m)-preinvex
by: Badreddine Meftah, et al.
Published: (2019-01-01)

Hermite-Hadamard and Ostrowski type inequalities via -exponential type convex functions with applications
by: Attazar Bakht, et al.
Published: (2024-03-01)

On certain Ostrowski type integral inequalities for convex function via AB-fractional integral operator
by: Maimoona Karim, et al.
Published: (2023-02-01)

Some New Jensen–Mercer Type Integral Inequalities via Fractional Operators
by: Bahtiyar Bayraktar, et al.
Published: (2023-05-01)

New Quantum Mercer Estimates of Simpson–Newton-like Inequalities via Convexity
by: Saad Ihsan Butt, et al.
Published: (2022-09-01)

Some New Beesack–Wirtinger-Type Inequalities Pertaining to Different Kinds of Convex Functions
by: Artion Kashuri, et al.
Published: (2022-02-01)

Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended s,m-prequasiinvex mixed partial derivatives
by: Wedad Saleh, et al.
Published: (2023-06-01)

A Study of Some New Hermite–Hadamard Inequalities via Specific Convex Functions with Applications
by: Moin-ud-Din Junjua, et al.
Published: (2024-02-01)

Jensen-Mercer Type Inequalities in the Setting of Fractional Calculus with Applications
by: Bandar Bin-Mohsin, et al.
Published: (2022-10-01)

Some New Results on Hermite–Hadamard–Mercer-Type Inequalities Using a General Family of Fractional Integral Operators
by: Erhan Set, et al.
Published: (2021-07-01)

Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means
by: Uğur Selamet Kırmacı
Published: (2021-09-01)

New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes
by: Fahd Jarad, et al.
Published: (2023-04-01)

New Estimates on Hermite–Hadamard Type Inequalities via Generalized Tempered Fractional Integrals for Convex Functions with Applications
by: Artion Kashuri, et al.
Published: (2023-07-01)

Some novel refinements of Hermite-Hadamard and Pachpatte type integral inequalities involving a generalized preinvex function pertaining to Caputo-Fabrizio fractional integral operator
by: Muhammad Tariq, et al.
Published: (2023-09-01)

Interval valued Hadamard-Fejér and Pachpatte Type inequalities pertaining to a new fractional integral operator with exponential kernel
by: Hari Mohan Srivastava, et al.
Published: (2022-06-01)

New Study on the Quantum Midpoint-Type Inequalities for Twice <i>q</i>-Differentiable Functions via the Jensen–Mercer Inequality
by: Saad Ihsan Butt, et al.
Published: (2023-05-01)

On New Generalizations of Hermite-Hadamard Type Inequalities via Atangana-Baleanu Fractional Integral Operators
by: Erhan Set, et al.
Published: (2021-09-01)

Hermite-Hadamard type inequalities for generalized convex functions on fractal sets style
by: Muharrem Tomar, et al.
Published: (2018-02-01)

Certain midpoint-type Fejér and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel
by: Thongchai Botmart, et al.
Published: (2023-01-01)