TY  - JOUR
T1  - Newton-type Inequalities for Fractional Integrals  by Various Function Classes
AU  - Hezenci, Fatih
AU  - Budak, Hüseyin
AU  - Du, Tingsong
PY  - 2025
DA  - June
Y2  - 2025
DO  - 10.32323/ujma.1660642
JF  - Universal Journal of Mathematics and Applications
JO  - Univ. J. Math. Appl.
PB  - Emrah Evren KARA
WT  - DergiPark
SN  - 2619-9653
SP  - 94
EP  - 107
VL  - 8
IS  - 2
LA  - en
AB  - The authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely,   we establish some Newton-type inequalities for bounded functions by fractional integrals. In addition, we construct some fractional Newton-type inequalities for Lipschitzian functions. Furthermore, we offer some Newton-type inequalities by fractional integrals of bounded variation. Finally, we provide our results by using special cases of theorems and obtained examples.
KW  - Bounded functions
KW  - Convex functions
KW  - Lipschitzian functions
KW  - Newton-type inequalities
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UR  - https://doi.org/10.32323/ujma.1660642
L1  - https://dergipark.org.tr/en/download/article-file/4703159
ER  -