Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators

Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators

In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable functions in terms of fractional integral operators. Based on this new identity, some generalized Bullen-type inequalities are obtained by employing convexity properties. Concrete examples are given to i...

Full description

Bibliographic Details
Main Authors:	Asfand Fahad, Saad Ihsaan Butt, Bahtiyar Bayraktar, Mehran Anwar, Yuanheng Wang
Format:	Article
Language:	English
Published:	MDPI AG 2023-07-01
Series:	Axioms
Subjects:	convex functions Bullen’s inequality Hadamard inequality Hölder inequality power mean fractional integral operators
Online Access:	https://www.mdpi.com/2075-1680/12/7/691

Similar Items

Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions
by: İmdat İşcan, et al.
Published: (2019-09-01)

Bullen-Mercer type inequalities with applications in numerical analysis
by: Miguel Vivas–Cortez, et al.
Published: (2024-06-01)

On some new generalized fractional Bullen-type inequalities with applications
by: Sabir Hussain, et al.
Published: (2022-11-01)

Fractional Multiplicative Bullen-Type Inequalities for Multiplicative Differentiable Functions
by: Hamid Boulares, et al.
Published: (2023-02-01)

Visualizing fractional inequalities through 2D and 3D graphs with applications
by: Muhammad Samraiz, et al.
Published: (2024-05-01)

Generalizations of some Integral Inequalities for Fractional Integrals
by: Farid Ghulam, et al.
Published: (2018-09-01)

Hermite-Hadamard like inequalities for fractional integral operator via convexity and quasi-convexity with their applications
by: Jamshed Nasir, et al.
Published: (2022-01-01)

Bullen-type inequalities for twice-differentiable functions by using conformable fractional integrals
by: Fatih Hezenci, et al.
Published: (2024-04-01)

New fractional integral inequalities pertaining 2D–approximately coordinate (r1,ℏ1)-(r2,ℏ2)–convex functions
by: Ying-Qing Song, et al.
Published: (2022-01-01)

Approximately two-dimensional harmonic ( p 1 , h 1 ) $(p_{1},h_{1})$ - ( p 2 , h 2 ) $(p_{2},h_{2})$ -convex functions and related integral inequalities
by: Saad Ihsan Butt, et al.
Published: (2020-10-01)

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-<i>h</i>-Convex Functions and Its Subclasses with Applications
by: Asfand Fahad, et al.
Published: (2023-01-01)

Some Ostrowski type inequalities for mappings whose second derivatives are preinvex function via fractional integral operator
by: Jamshed Nasir, et al.
Published: (2022-01-01)

On generalizations of trapezoid and Bullen type inequalities based on generalized fractional integrals
by: Hüseyin Budak, et al.
Published: (2023-01-01)

n–polynomial exponential type p–convex function with some related inequalities and their applications
by: Saad Ihsan Butt, et al.
Published: (2020-11-01)

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

Trapezium-Type Inequalities for Raina’s Fractional Integrals Operator Using Generalized Convex Functions
by: Miguel Vivas-Cortez, et al.
Published: (2020-06-01)

Generalized Hermite-Hadamard type inequalities involving fractional integral operators
by: Erhan Set, et al.
Published: (2017-07-01)

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

On new general inequalities for s-convex functions and their applications
by: Çetin Yildiz, et al.
Published: (2023-01-01)

Integral inequalities for s-convex functions via generalized conformable fractional integral operators
by: Artion Kashuri, et al.
Published: (2020-05-01)

New fractional inequalities of midpoint type via s-convexity and their application
by: Ohud Almutairi, et al.
Published: (2019-10-01)

Hermite–Hadamard-type inequalities for geometrically r-convex functions in terms of Stolarsky’s mean with applications to means
by: Muhammad Amer Latif
Published: (2021-08-01)

Inequalities of Hermite–Hadamard type for functions whose derivatives in absolute value are convex with applications
by: Muhammad Amer Latif
Published: (2015-01-01)

Some Fractional Integral Inequalities by Way of Raina Fractional Integrals
by: Miguel Vivas-Cortez, et al.
Published: (2023-10-01)

SOME NEW GENERALIZATIONS OF HADAMARD–TYPE MIDPOINT INEQUALITIES INVOLVING FRACTIONAL INTEGRALS
by: B. Bayraktar
Published: (2020-07-01)

Fractional Ostrowski Type Inequalities via $\phi-\lambda-$Convex Function
by: Ali Hassan, et al.
Published: (2024-01-01)

Some new Hermite–Hadamard type inequalities for s-convex functions and their applications
by: Serap Özcan, et al.
Published: (2019-07-01)

Some New Classes of Preinvex Functions and Inequalities
by: Muhammad Aslam Noor, et al.
Published: (2018-12-01)

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

New generalized integral inequalities with applications
by: Artion Kashuri, et al.
Published: (2019-07-01)

New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator
by: Muhammad Tariq, et al.
Published: (2022-01-01)

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 inequalities of Hermite-Hadamard type for GA-Convex functions with applications to means
by: Tian-Yu Zhang, et al.
Published: (2013-05-01)

New Extensions of the Parameterized Inequalities Based on Riemann–Liouville Fractional Integrals
by: Hasan Kara, et al.
Published: (2022-09-01)

Hermite–Hadamard-type inequalities via n-polynomial exponential-type convexity and their applications
by: Saad Ihsan Butt, et al.
Published: (2020-09-01)

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

New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities
by: Hong-Hu Chu, et al.
Published: (2020-10-01)

Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function
by: Ali Hassan, et al.
Published: (2023-09-01)

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-Type Inequalities Involving Harmonically Convex Function via the Atangana–Baleanu Fractional Integral Operator
by: Muhammad Amer Latif, et al.
Published: (2022-08-01)