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In this research, we offer two new quantum integral equalities for recently defined $q^{\varepsilon _{2}}$-integral and derivative, the derived equalities then used to prove quantum integral inequalities of Simpson's and Newton's type for preinvex functions. We also considered the special cases of established results and offer several new and existing results inside the literature of Simpson's and Newton's type inequalities.
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참고문헌 (35)
참고문헌 신청
M. A. Ali / Some new Simpson’s type inequalities for co-ordinated convex functions in quantum calculus / Mathematical Methods in the Applied Sciences
M. A. Ali / 2021 / Quantum Hermite.Hadamard-type inequalities for functions with convex absolute values of second q b -derivatives / Adv Differ Equ 2021(7)
M. A. Ali / 2021 / New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex func-tions / Adv Differ Equ 2021(64):64
M. A. Ali / 2021 / Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables / Adv Differ Equ 2021(25):25
M. A. Ali / 2021 / On some new quantum midpoint type inequalities for twice quantum differentiable convex functions / Open Mathematics
M. A. Ali / 2021 / Quantum Hermite.Hadamard-type inequalities for functions with convex absolute values of second q b -derivatives / Adv Differ Equ 2021(7)
M. A. Ali / 2021 / New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex func-tions / Adv Differ Equ 2021(64):64
M. A. Ali / 2021 / Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables / Adv Differ Equ 2021(25):25
M. A. Ali / 2021 / On some new quantum midpoint type inequalities for twice quantum differentiable convex functions / Open Mathematics
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