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Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus [PDF]
Entropy, 2021 In this paper, we establish new (p,q)κ1-integral and (p,q)κ2-integral identities. By employing these new identities, we establish new (p,q)κ1 and (p,q)κ2- trapezoidal integral-type inequalities through strongly convex and quasi-convex functions. Finally,
Humaira Kalsoom +2 more
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Quasi-convex univalent functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1980 In this paper, a new class of normalized univalent functions is introduced. The properties of this class and its relationship with some other subclasses of univalent functions are studied. The functions in this class are close-to-convex.
K. Inayat Noor, D. K. Thomas
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Quasi-Herglotz functions and convex optimization [PDF]
Royal Society Open Science, 2020 We introduce the set of quasi-Herglotz functions and demonstrate that it has properties useful in the modelling of non-passive systems. The linear space of quasi-Herglotz functions constitutes a natural extension of the convex cone of Herglotz functions.
Y. Ivanenko +5 more
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On quasi-convex functions and related topics [PDF]
International Journal of Mathematics and Mathematical Sciences, 1987 Let S be the class of functions f which are analytic and univalent in the unit disc E with f(0)=0, f′(0)=1. Let C, S* and K be the classes of convex, starlike and close-to-convex functions respectively.
Khalida Inayat Noor
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Weighted version of Hermite–Hadamard type inequalities for geometrically quasi-convex functions and their applications [PDF]
Journal of Inequalities and Applications, 2018 This paper presents new weighted Hermite–Hadamard type inequalities for a new class of convex functions which are known as geometrically quasi-convex functions.
Sofian Obeidat, Muhammad Amer Latif
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Some classes of alpha-quasi-convex functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1988 Let C[C,D], −1 ...
Khalida Inayat Noor
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Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions [PDF]
Journal of Function Spaces, 2018 In this work, we aim to introduce and study a new subclass of analytic functions related to the oval and petal type domain. This includes various interesting properties such as integral representation, sufficiency criteria, inclusion results, and the ...
Shahid Mahmood +4 more
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ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS
Проблемы анализа, 2015 Estimations of errors in inequalities related to some quasi-convex functions in literature are simplified. Two new general inequalities for functions whose n-th derivatives for any positive integer n in absolute values are quasi-convex have been ...
Z. Liu
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A new subclass of quasi convex functions
Journal of Numerical Analysis and Approximation Theory, 1990 Not available.
Khalida Inayat Noor
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Some Quantum Estimates of Hermite-Hadamard Inequalities for Quasi-Convex Functions
Mathematics, 2019 In this paper, we develop some quantum estimates of Hermite-Hadamard type inequalities for quasi-convex functions. In some special cases, these quantum estimates reduce to the known results.
Hefeng Zhuang, Wenjun Liu, Jaekeun Park
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