TY  - JOUR
T1  - Weddle's Inequality via Katugampola  Fractional Integrals
AU  - El-achky, Jamal
PY  - 2025
DA  - December
Y2  - 2025
DO  - 10.32323/ujma.1752277
JF  - Universal Journal of Mathematics and Applications
JO  - Univ. J. Math. Appl.
PB  - Emrah Evren KARA
WT  - DergiPark
SN  - 2619-9653
SP  - 179
EP  - 194
VL  - 8
IS  - 4
LA  - en
AB  - Integral inequalities represent an important and ongoing area of study in mathematical understanding. Due to their extensive use in science, fractional calculus approaches have been the subject of a great deal of research recently. An important concept in fractional calculus is the Katugampola fractional integral. In this work, we aim to investigate Weddle's type integral inequalities involving the Katugampola integral operators for functions whose first derivatives are convex.  In order to accomplish this, we first suggest a novel integral identity. We develop several new fractional Weddle-like type inequalities using this identity.  Special means and quadrature formula applications are given.
KW  - Convex function
KW  - Katugampola fractional integrals
KW  - Weddle inequality
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UR  - https://doi.org/10.32323/ujma.1752277
L1  - https://dergipark.org.tr/en/download/article-file/5096509
ER  -