TY  - JOUR
T1  - Parameterized Newton-type inequalities associated with convex functions via quantum calculus
AU  - Budak, Hüseyin
AU  - Umar, Muhammad
AU  - Dr., Saad Ihsan Butt
PY  - 2025
DA  - June
Y2  - 2025
DO  - 10.31801/cfsuasmas.1434544
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 238
EP  - 253
VL  - 74
IS  - 2
LA  - en
AB  - Using the concept of quantum derivatives and integrals, we first develop a new parameterized identity in this work. This parameterized quantum identity is used to demonstrate parameterized quantum Newton-type inequalities related to convex functions. We also demonstrate how setting $\mathit{q} \to 1^{-}$ allows the newly generated inequalities to be recovered into some existing inequalities. In order to validate the recently discovered inequalities, we conclude by providing mathematical examples of convex functions along with some graphical analysis.
KW  - Newton-type inequality
KW  - convex functions
KW  - quantum calculus
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UR  - https://doi.org/10.31801/cfsuasmas.1434544
L1  - https://dergipark.org.tr/en/download/article-file/3718459
ER  -