TY - JOUR
T1 - SOME NOVEL INEQUALITIES VIA TEMPERED FRACTIONAL INTEGRAL OPERATOR AND THEIR APPLICATIONS
AU - Palsaniya, V.
AU - Mittal, E.
AU - Joshi, S.
AU - Purohit, S. D.
AU - Al-Mdallal, Q.
N1 - Publisher Copyright:
© Palestine Polytechnic University-PPU 2025.
PY - 2025
Y1 - 2025
N2 - In this paper, we generate some innovative results on the integral inequalities of the Chebyshev type as well as the reverse Minkowski inequality using the tempered fractional integral operator. These inequalities extend some prior conclusions. As a direct result of our major findings, we demonstrate inequalities of Chebyshev type incorporating Riemann-Liouville fractional integral operators. These variations can lead to some intriguing outcomes in a few exceptional situations. We may also discover some applications of this inequality by using a particular function, which we then graphically display.
AB - In this paper, we generate some innovative results on the integral inequalities of the Chebyshev type as well as the reverse Minkowski inequality using the tempered fractional integral operator. These inequalities extend some prior conclusions. As a direct result of our major findings, we demonstrate inequalities of Chebyshev type incorporating Riemann-Liouville fractional integral operators. These variations can lead to some intriguing outcomes in a few exceptional situations. We may also discover some applications of this inequality by using a particular function, which we then graphically display.
KW - Chebyshev inequality
KW - reverse Minkowski inequality
KW - tempered fractional integral operator
UR - https://www.scopus.com/pages/publications/105007476387
UR - https://www.scopus.com/pages/publications/105007476387#tab=citedBy
M3 - Article
AN - SCOPUS:105007476387
SN - 2219-5688
VL - 14
SP - 52
EP - 64
JO - Palestine Journal of Mathematics
JF - Palestine Journal of Mathematics
IS - 2
ER -