Fejér-Type Midpoint and Trapezoidal Inequalities for the Operator ω1,ω2-Preinvex Functions

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dc.contributor.authorMehmood, Sikander
dc.contributor.authorSrivastava, Hari M.
dc.contributor.authorMohammed, Pshtiwan O.
dc.contributor.authorAl-Sarairah, Eman
dc.contributor.authorZafar, Fiza
dc.contributor.authorNonlaopon, Kamsing
dc.date.accessioned2023-10-14T19:22:29Z
dc.date.available2023-10-14T19:22:29Z
dc.date.copyright2022en_US
dc.date.issued2022
dc.description.abstractIn this work, we obtain some new integral inequalities of the Hermite–Hadamard–Fejér type for operator (ω1,ω2)-preinvex functions. The bounds for both left-hand and right-hand sides of the integral inequality are established for operator (ω1,ω2)-preinvex functions of the positive self-adjoint operator in the complex Hilbert spaces. We give the special cases to our results; thus, the established results are generalizations of earlier work. In the last section, we give applications for synchronous (asynchronous) functions.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis work was supported by the National Science, Research, and Innovation Fund (NSRF), Thailand.en_US
dc.identifier.citationMehmood, S., Srivástava, H. M., Mohammed, P. O., Al-Sarairah, E., Zafar, F., & Nonlaopon, K. (2022). Fejér-Type Midpoint and Trapezoidal Inequalities for the Operator ω1,ω2-Preinvex Functions. Axioms, 12(1), 16. https://doi.org/10.3390/axioms12010016en_US
dc.identifier.urihttps://doi.org/10.3390/axioms12010016
dc.identifier.urihttp://hdl.handle.net/1828/15504
dc.language.isoenen_US
dc.publisherAxiomsen_US
dc.subjectHermite–Hadamard inequalities
dc.subjectHermite–Hadamard–Fejér inequalities
dc.subject(ω1,ω2)-preinvexity
dc.subjectself-adjoint operators
dc.subjectpositive operators
dc.subjectfunctions of self-adjoint operators
dc.subjectHölder inequality
dc.subjectsynchronous (asynchronous) functions
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleFejér-Type Midpoint and Trapezoidal Inequalities for the Operator ω1,ω2-Preinvex Functionsen_US
dc.typeArticleen_US

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