Results 21 to 30 of about 312,160 (271)

Advancements in corrected Euler–Maclaurin-type inequalities via conformable fractional integrals [PDF]

Boundary Value Problems
In this research article, equality is proved to obtain corrected Euler–Maclaurin-type inequalities. Using this identity, we establish several corrected Euler–Maclaurin-type inequalities for the case of differentiable convex functions by means of ...
Yaren Acar, Hüseyin Budak, Umut Bas, Fatih Hezenci, Hüseyin Yıldırım   +4 more
doaj   +2 more sources

Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications

Journal of Function Spaces, 2020
In this article, we establish some new Hermite–Hadamard-type inequalities involving the conformable fractional integrals. As applications, several inequalities for the approximation error in the midpoint formula and certain bivariate means are derived.
Arshad Iqbal, Muhammad Adil Khan, Sana Ullah, Yu-Ming Chu   +3 more
doaj   +2 more sources

A remark on midpoint-type inequalities for conformable fractional integrals

Miskolc Mathematical Notes
This paper proves an equality for the case of differentiable functions involving the conformable fractional integrals. By using this equality, we establish new midpoint-type inequalities via convex functions with the aid of the conformable fractional ...
Fatih Hezenci, Hüseyin Budak
doaj   +2 more sources

Inequalities for α-fractional differentiable functions [PDF]

Journal of Inequalities and Applications, 2017
In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error ...
Yu-Ming Chu, Muhammad Adil Khan, Tahir Ali, Sever Silvestru Dragomir   +3 more
doaj   +2 more sources

Hermite-Hadamard-Fejér Type Inequalities with Generalized K-Fractional Conformable Integrals and Their Applications

Mathematics, 2022
In this work, we introduce new definitions of left and right-sides generalized conformable K-fractional derivatives and integrals. We also prove new identities associated with the left and right-sides of the Hermite-Hadamard-Fejér type inequality for ϕ ...
Humaira Kalsoom, Zareen A. Khan
doaj   +2 more sources

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

Boundary Value Problems
In the current research, some midpoint-type inequalities are generalized for co-ordinated convex functions with the help of generalized conformable fractional integrals.
Mehmet Eyüp Kiriş, Miguel Vivas-Cortez, Tuğba Yalçin Uzun, Gözde Bayrak, Hüseyin Budak   +4 more
doaj   +2 more sources

Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions

Journal of Function Spaces, 2019
In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex ...
Yousaf Khurshid, Muhammad Adil Khan, Yu-Ming Chu, Zareen Abdulhameed Khan   +3 more
doaj   +2 more sources

New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals

Journal of Mathematical Sciences and Modelling
In this study, a new Newton-type inequality form for multiplicative convex functions is derived using multiplicative conformable fractional integrals. The developed new form presents an inequality that has not been encountered before in literature.
Büşra Betül Ergün, Hüseyin Budak
doaj   +2 more sources

On generalized Milne type inequalities for new conformable fractional integrals [PDF]

Filomat
In this study, we first obtained a new identity for differentiable convex functions with the help of new conformable fractional integrals. Then, using this identity, we proved new Milne-type inequalities for new conformable fractional integrals.
Celika, Baris, Budakb, Huseyin, Seta, Erhan   +2 more
openaire   +3 more sources

REMARKS ON INEQUALITIES WITH PARAMETER BY CONFORMABLE FRACTIONAL INTEGRALS [PDF]

Fractals
We prove that an equation holds for differentiable convex functions, and this result has been derived using conformable integrals. With the help of this equality, several parameterized inequalities are established by using the conformable fractional integrals. Namely, we show that our main inequalities reduce to Ostrowski-, Hermite–Hadamard-, Simpson-,
FATIH HEZENCI, MIGUEL VIVAS-CORTEZ, HÜSEYIN BUDAK   +2 more
openaire   +4 more sources