Results 11 to 20 of about 294,693 (227)

On results of parameterized inequalities associated with conformable fractional integrals

Miskolc Mathematical Notes
In the present article, an equality is established for the case of differentiable convex functions associated with the conformable fractional integrals.
Hüseyin Budak, Cihan Ünal, Fatih Hezenci   +2 more
doaj   +2 more sources

GENERALIZED k-FRACTIONAL CONFORMABLE INTEGRALS AND RELATED INEQUALITIES

AIMS Mathematics, 2019
In the paper, the authors introduce the generalized $k$-fractional conformable integrals, which are the $k$-analogues of the recently introduced fractional conformable integrals and can be reduced to other fractional integrals under specific values of the parameters involved.
Qi, Feng, Habib, Siddra, Mubeen, Shahid, Naeem, Muhammad Nawaz   +3 more
openaire   +5 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

Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals

Journal of Function Spaces, 2018
We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.
Muhammad Adil Khan, Yousaf Khurshid, Ting-Song Du, Yu-Ming Chu   +3 more
doaj   +2 more sources

Some Generalizations of Opial Type Inequalities for Conformable Fractional Integrals [PDF]

Progress in Fractional Differentiation and Applications, 2020
In the present paper, some new versions of Opial type inequalities for conformable fractional integral are given by using convex functions. © 2020 NSP Natural Sciences Publishing Cor.
Sarıkaya, Mehmet Zeki, Bilisik, C. C.
openaire   +3 more sources

On Feng Qi-type Integral Inequalities for Conformable Fractional Integrals

, 2016
In this paper, we establish the generalized Qi-type inequality involving conformable fractional integrals. The results presented here would provide extensions of those given in earlier works.
Abdullah AKKURT, M. Esra YILDIRIM, Hüseyin YILDIRIM   +2 more
openaire   +3 more sources

Bullen-type inequalities for twice-differentiable functions by using conformable fractional integrals [PDF]

Journal of Inequalities and Applications
In this paper, we prove an equality for twice-differentiable convex functions involving the conformable fractional integrals. Moreover, several Bullen-type inequalities are established for twice-differentiable functions.
Fatih Hezenci, 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

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 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