Some new estimates on coordinates of left and right convex interval-valued functions based on pseudo order relation

dc.contributor.authorKhan, Muhammad Bilal
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorNonlaopon, Kamsing
dc.contributor.authorHamed, Yasser S.
dc.date.accessioned2022-10-27T16:49:49Z
dc.date.available2022-10-27T16:49:49Z
dc.date.copyright2022en_US
dc.date.issued2022
dc.description.abstractThe relevance of convex and non-convex functions in optimization research is well known. Due to the behavior of its definition, the idea of convexity also plays a major role in the subject of inequalities. The main concern of this paper is to establish new integral inequalities for newly defined left and right convex interval-valued function on coordinates through pseudo order relation and double integral. Some of the Hermite–Hadamard type inequalities for the product of two left and right convex interval-valued functions on coordinates are also obtained. Moreover, Hermite– Hadamard–Fejér type inequalities are also derived for left and right convex interval-valued functions on coordinates. Some useful examples are also presented to prove the validity of this study. The proved results of this paper are generalizations of many known results, which are proved by Dragomir, Latif et al. and Zhao, and can be vied as applications of this study.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationKhan, M., Srivastava, H., Mohammed, P., Nonlaopon, K., & Hamed, Y. (2022). “Some new estimates on coordinates of left and right convex interval-valued functions based on pseudo order relation.” Symmetry, 14(3), 473. https://doi.org/10.3390/sym14030473en_US
dc.identifier.urihttps://doi.org/10.3390/sym14030473
dc.identifier.urihttp://hdl.handle.net/1828/14335
dc.language.isoenen_US
dc.publisherSymmetryen_US
dc.subjectdouble integralen_US
dc.subjectleft and right convex interval-valued function on coordinatesen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectHermite-Hadamard-Fejér inequalityen_US
dc.titleSome new estimates on coordinates of left and right convex interval-valued functions based on pseudo order relationen_US
dc.typeArticleen_US

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