HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSE
Abstaract−In this paper, we introduce a new class of convex functions which is called (s, m)- preinvex functions in the second sense then we establish some new Hermite-Hadamard’s inequalities whose modulus of the first derivatives are in this novel class
| Published in: | Journal of New Theory |
|---|---|
| Main Author: | Badreddine Meftah |
| Format: | Article |
| Language: | English |
| Published: |
Naim Çağman
2016-03-01
|
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/407542 |
Similar Items
Inequalities of Hermite–Hadamard type for functions whose derivatives in absolute value are convex with applications
by: Muhammad Amer Latif
Published: (2015-01-01)
by: Muhammad Amer Latif
Published: (2015-01-01)
Ostrowski's inequalities for functions whose first derivatives are s-logarithmically preinvex in the second sense
by: Badreddine Meftah
Published: (2018-01-01)
by: Badreddine Meftah
Published: (2018-01-01)
Hermite–Hadamard–Mercer-Type Inequalities for Three-Times Differentiable Functions
by: Loredana Ciurdariu, et al.
Published: (2024-06-01)
by: Loredana Ciurdariu, et al.
Published: (2024-06-01)
Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets
by: Sikander Mehmood, et al.
Published: (2023-09-01)
by: Sikander Mehmood, et al.
Published: (2023-09-01)
A New Inclusion on Inequalities of the Hermite–Hadamard–Mercer Type for Three-Times Differentiable Functions
by: Talib Hussain, et al.
Published: (2024-11-01)
by: Talib Hussain, et al.
Published: (2024-11-01)
Hermite-Hadamard Fractional Inequalities for Differentiable Functions
by: Muhammad Samraiz, et al.
Published: (2022-01-01)
by: Muhammad Samraiz, et al.
Published: (2022-01-01)
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)
by: Jamshed Nasir, et al.
Published: (2022-01-01)
Some new Hermite–Hadamard type inequalities for s-convex functions and their applications
by: Serap Özcan, et al.
Published: (2019-07-01)
by: Serap Özcan, et al.
Published: (2019-07-01)
Some new generalized κ–fractional Hermite–Hadamard–Mercer type integral inequalities and their applications
by: Miguel Vivas-Cortez, et al.
Published: (2022-01-01)
by: Miguel Vivas-Cortez, et al.
Published: (2022-01-01)
On New Generalized Hermite–Hadamard–Mercer-Type Inequalities for Raina Functions
by: Zeynep Çiftci, et al.
Published: (2024-08-01)
by: Zeynep Çiftci, et al.
Published: (2024-08-01)
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)
by: Jamshed Nasir, et al.
Published: (2022-01-01)
On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals
by: Muhammad Sadaqat Talha, et al.
Published: (2024-05-01)
by: Muhammad Sadaqat Talha, et al.
Published: (2024-05-01)
Some inequalities of Hermite-Hadamard type for GA-Convex functions with applications to means
by: Tian-Yu Zhang, et al.
Published: (2013-05-01)
by: Tian-Yu Zhang, et al.
Published: (2013-05-01)
Generalized Hermite-Hadamard type inequalities involving fractional integral operators
by: Erhan Set, et al.
Published: (2017-07-01)
by: Erhan Set, et al.
Published: (2017-07-01)
New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator
by: Muhammad Tariq, et al.
Published: (2022-01-01)
by: Muhammad Tariq, et al.
Published: (2022-01-01)
Hermite-Hadamard and Ostrowski type inequalities via -exponential type convex functions with applications
by: Attazar Bakht, et al.
Published: (2024-03-01)
by: Attazar Bakht, et al.
Published: (2024-03-01)
Hermite–Hadamard-type inequalities via n-polynomial exponential-type convexity and their applications
by: Saad Ihsan Butt, et al.
Published: (2020-09-01)
by: Saad Ihsan Butt, et al.
Published: (2020-09-01)
Ostrowski and Hermite-Hadamard type inequalities via (α−s) exponential type convex functions with applications
by: Attazar Bakht, et al.
Published: (2024-09-01)
by: Attazar Bakht, et al.
Published: (2024-09-01)
New midpoint type Hermite-Hadamard-Mercer inequalities pertaining to Caputo-Fabrizio fractional operators
by: Soubhagya Kumar Sahoo, et al.
Published: (2023-02-01)
by: Soubhagya Kumar Sahoo, et al.
Published: (2023-02-01)
Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means
by: Uğur Selamet Kırmacı
Published: (2021-09-01)
by: Uğur Selamet Kırmacı
Published: (2021-09-01)
ON NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE FOURTH DERIVATIVE ABSOLUTE VALUES ARE QUASI-CONVEX WITH APPLICATIONS
by: Imran Abbas Baloch, et al.
Published: (2016-03-01)
by: Imran Abbas Baloch, et al.
Published: (2016-03-01)
New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities
by: Hong-Hu Chu, et al.
Published: (2020-10-01)
by: Hong-Hu Chu, et al.
Published: (2020-10-01)
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)
by: Artion Kashuri, et al.
Published: (2023-07-01)
Hermite-Hadamard type inequalities for subadditive functions
by: Huriye Kadakal
Published: (2020-01-01)
by: Huriye Kadakal
Published: (2020-01-01)
On inequalities of Hermite-Hadamard type via n-polynomial exponential type s-convex functions
by: Muhammad Samraiz, et al.
Published: (2022-06-01)
by: Muhammad Samraiz, et al.
Published: (2022-06-01)
On Hermite–Hadamard-Type Inequalities for Functions Satisfying Second-Order Differential Inequalities
by: Ibtisam Aldawish, et al.
Published: (2023-04-01)
by: Ibtisam Aldawish, et al.
Published: (2023-04-01)
New estimates on generalized Hermite–Hadamard–Mercer-type inequalities
by: Çetin Yıldız, et al.
Published: (2025-02-01)
by: Çetin Yıldız, et al.
Published: (2025-02-01)
A Comprehensive Analysis of Hermite–Hadamard Type Inequalities via Generalized Preinvex Functions
by: Muhammad Tariq, et al.
Published: (2021-11-01)
by: Muhammad Tariq, et al.
Published: (2021-11-01)
On New Fractional Version of Generalized Hermite-Hadamard Inequalities
by: Abd-Allah Hyder, et al.
Published: (2022-09-01)
by: Abd-Allah Hyder, et al.
Published: (2022-09-01)
Improvements of the Hermite-Hadamard inequality for the simplex
by: Zlatko Pavić
Published: (2017-01-01)
by: Zlatko Pavić
Published: (2017-01-01)
Further Hermite–Hadamard-Type Inequalities for Fractional Integrals with Exponential Kernels
by: Hong Li, et al.
Published: (2024-06-01)
by: Hong Li, et al.
Published: (2024-06-01)
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)
by: Saad Ihsan Butt, et al.
Published: (2020-10-01)
Exploration of Hermite–Hadamard-Type Integral Inequalities for Twice Differentiable <i>h</i>-Convex Functions
by: Miguel Vivas-Cortez, et al.
Published: (2023-07-01)
by: Miguel Vivas-Cortez, et al.
Published: (2023-07-01)
On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities
by: Wedad Saleh, et al.
Published: (2025-05-01)
by: Wedad Saleh, et al.
Published: (2025-05-01)
Hermite–Hadamard–Mercer Inequalities Associated with Twice-Differentiable Functions with Applications
by: Muhammad Aamir Ali, et al.
Published: (2024-02-01)
by: Muhammad Aamir Ali, et al.
Published: (2024-02-01)
On new general inequalities for s-convex functions and their applications
by: Çetin Yildiz, et al.
Published: (2023-01-01)
by: Çetin Yildiz, et al.
Published: (2023-01-01)
Hermite-Hadamard type inequalities for GA-s-convex functions
by: İmdat İşcan
Published: (2014-10-01)
by: İmdat İşcan
Published: (2014-10-01)
Improved Hermite–Hadamard Inequality Bounds for Riemann–Liouville Fractional Integrals via Jensen’s Inequality
by: Muhammad Aamir Ali, et al.
Published: (2024-09-01)
by: Muhammad Aamir Ali, et al.
Published: (2024-09-01)
On Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals
by: Akkurt Abdullah, et al.
Published: (2017-01-01)
by: Akkurt Abdullah, et al.
Published: (2017-01-01)
Some new fractional integral inequalities for generalized relative semi-m-(r; h1, h2)-preinvex mappings via generalized Mittag-Leffler function
by: Artion Kashuri, et al.
Published: (2020-08-01)
by: Artion Kashuri, et al.
Published: (2020-08-01)
Similar Items
-
Inequalities of Hermite–Hadamard type for functions whose derivatives in absolute value are convex with applications
by: Muhammad Amer Latif
Published: (2015-01-01) -
Ostrowski's inequalities for functions whose first derivatives are s-logarithmically preinvex in the second sense
by: Badreddine Meftah
Published: (2018-01-01) -
Hermite–Hadamard–Mercer-Type Inequalities for Three-Times Differentiable Functions
by: Loredana Ciurdariu, et al.
Published: (2024-06-01) -
Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets
by: Sikander Mehmood, et al.
Published: (2023-09-01) -
A New Inclusion on Inequalities of the Hermite–Hadamard–Mercer Type for Three-Times Differentiable Functions
by: Talib Hussain, et al.
Published: (2024-11-01)
