On Certain Classes of Multivalent Analytic Functions Defined with Higher-Order Derivatives
Mathematics, 2022 This paper examines two subclasses of multivalent analytic functions defined with higher-order derivatives. These classes of functions are generalizations of several known subclasses that have been studied in separate works.
Abdel Moneim Y. Lashin, Fatma Z. El-Emam
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Some inequalities for operator (p,h)-convex functions
, 2017 Let $p$ be a positive number and $h$ a function on $\mathbb{R}^+$ satisfying $h(xy) \ge h(x) h(y)$ for any $x, y \in \mathbb{R}^+$. A non-negative continuous function $f$ on $K (\subset \mathbb{R}^+)$ is said to be {\it operator $(p,h)$-convex} if \begin{
Dinh, Trung Hoa, Vo, Khue TB
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Schur m-Power Convexity of a Class of Multiplicatively Convex Functions and Applications
Abstract and Applied Analysis, 2014 We investigate the conditions under which the symmetric functions Fn,k(x,r)=∏1 ...
Wen Wang, Shiguo Yang
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Some New Integral Inequalities for $n$-Times Differentiable Trigonometrically Convex Functions
Universal Journal of Mathematics and Applications, 2020 In this manuscript, by using an integral identity together with both the Hölder, Hölder-İşcan and the Power-mean integral inequalities we obtain several new inequalities for $n$-time differentiable trigonometrically convex functions.
Kerim Bekar
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Several new cyclic Jensen type inequalities and their applications
Journal of Inequalities and Applications, 2019 We present some fundamental results and definitions regarding Jensen’s inequality with the aim of obtaining new generalizations of cyclic refinements of Jensen’s inequality from convex to higher order convex functions using Taylor’s formula.
Nasir Mehmood +3 more
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The Third Logarithmic Coefficient for Certain Close-to-Convex Functions
Journal of Mathematics, 2022 The logarithmic coefficients γn of a normalized analytic functions f are defined by log fz/z=2∑n=1∞γnzn. For certain close-to-convex functions fz=z+a2z2+⋯, Cho et al. (on the third logarithmic coefficient in some subclasses of close-to-convex functions)
Najla M. Alarifi
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Meningovascular Inflammation in Cerebral Amyloid Angiopathy‐Related Cortical Superficial Siderosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT The role of inflammation in cortical superficial siderosis (cSS), a marker of cerebral amyloid angiopathy (CAA) linked to high hemorrhage risk, is unclear. We examined 15 patients with cSS using 3 T post‐contrast vessel wall MRI (VWI) and CSF analysis.
Philipp Arndt +8 more
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Finite choice, convex choice and finding roots [PDF]
Logical Methods in Computer Science, 2015 We investigate choice principles in the Weihrauch lattice for finite sets on the one hand, and convex sets on the other hand. Increasing cardinality and increasing dimension both correspond to increasing Weihrauch degrees.
Stéphane Le Roux, Arno Pauly
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Geometric Properties of Partial Sums of Univalent Functions [PDF]
, 2012 The $n$th partial sum of an analytic function $f(z)=z+\sum_{k=2}^\infty a_k z^k$ is the polynomial $f_n(z):=z+\sum_{k=2}^n a_k z^k$. A survey of the univalence and other geometric properties of the $n$th partial sum of univalent functions as well as ...
Ravichandran, V.
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Implications between generalized convexity properties of real functions
, 2015 Motivated by the well-known implications among $t$-convexity properties of real functions, analogous relations among the upper and lower $M$-convexity properties of real functions are established.
Kiss, Tibor, Páles, Zsolt
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