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5461
The Properties of a New Subclass of Harmonic Univalent Mappings
Published 2013-01-01“…First, we showed that the convolutions of two special subclass harmonic mappings are convex in the horizontal direction. Secondly, we proved a necessary and sufficient condition for the above subclass of harmonic mappings to be convex in the horizontal direction. …”
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5462
Facts about Vitamin D
Published 2014-02-01“…It helps put these minerals into bones and teeth. This makes bones stronger and reduces risk for bone fractures. …”
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5463
Facts about Vitamin D
Published 2014-02-01“…It helps put these minerals into bones and teeth. This makes bones stronger and reduces risk for bone fractures. …”
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Article -
5464
Prevent Osteoporosis: Catch the Silent Thief
Published 2017-05-01“…In the United States, 54 million people either have osteoporosis (10 million) or are at high risk (44 million) because they have low bone mass. By 2020, one in two Americans over the age of 50 is expected to have osteoporosis of the hip or be at high risk of developing the condition. …”
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5465
Facts About Fluoride
Published 2013-07-01“…Fluoride is important for healthy bones and teeth. It increases the density of bones and also can stimulate the growth of new bone. …”
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5466
Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions
Published 2021-01-01“…By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized. …”
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5467
Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems
Published 2012-01-01“…We finally apply the obtained results to a system of convex minimization problems.…”
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5468
Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative
Published 2012-01-01“…This paper is concerned with a class of fractional differential inclusions whose multivalued term depends on lower-order fractional derivative with fractional (non)separated boundary conditions. The cases of convex-valued and non-convex-valued right-hand sides are considered. …”
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5469
A Maximal Element Theorem in FWC-Spaces and Its Applications
Published 2014-01-01“…A maximal element theorem is proved in finite weakly convex spaces (FWC-spaces, in short) which have no linear, convex, and topological structure. …”
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5470
On sup- and inf-attaining functionals
Published 2024-12-01“…The weak-compactness of bounded, closed, and convex sets is characterized through sup-attaining functionals in view of the famous James’ theorem. …”
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5471
A Class of G-Semipreinvex Functions and Optimality
Published 2012-01-01“…A class of G-semipreinvex functions, which are some generalizations of the semipreinvex functions, and the G-convex functions, is introduced. Examples are given to show their relations among G-semipreinvex functions, semipreinvex functions and G-convex functions. …”
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5472
La Conquista y la Colonia en el Códice Azcatitlan
Published 2012-12-01“…The Conquest and the Colony in the Codex Azcatitlan. The Codex Azcatitlan is a pictographic document from Central Mexico that contains three historical sections. …”
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5473
Türk Eğitim Sistemindeki Kozmik Yapının Felsefesi
Published 2021-12-01“…Bu çalışmanın amacı, Türk eğitim sisteminin yapısını etkileyen ve bu yapıya yön veren kavram, ilke ve düşünce sistemlerini tarihsel gelişim süreci içinde betimlemektir. …”
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5474
Joint Optimization Design of UAV-Active RIS System Based on a Quadratic Transformation
Published 2025-01-01“…At the same time, the nonconvex quadratically constrained quadratic problem (QCQP) is transformed into a convex optimization problem with multiple single variables by combining the semidefinite relaxation method and the successive convex approximation method. …”
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5475
Infantile Cortical Hyperostosis: Report of a Case with Observations on Clinical Manifestations, Radiology, and Pathology with a Late Follow-Up of Eight Years
Published 2016-01-01“…The disease was demonstrated radiographically by massive cortical diaphyseal thickening and also extensive periosteal new bone formation surrounding several bones. Results in blood count were as follows: discrete anemia, moderate leukocytosis, and elevated sedimentation rate. …”
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5476
A New Hybrid Iterative Scheme for Countable Families of Relatively Quasi-Nonexpansive Mappings and System of Equilibrium Problems
Published 2011-01-01“…Using this result, we discuss strong convergence theorem concerning variational inequality and convex minimization problems in Banach spaces. Our results extend many known recent results in the literature.…”
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5477
Prevent Osteoporosis: Catch the Silent Thief
Published 2017-05-01“…In the United States, 54 million people either have osteoporosis (10 million) or are at high risk (44 million) because they have low bone mass. By 2020, one in two Americans over the age of 50 is expected to have osteoporosis of the hip or be at high risk of developing the condition. …”
Get full text
Article -
5478
On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals
Published 2024-01-01“…In addition, we discuss an exciting inclusion for the given convex class of functions. Over and above, we investigate the q-fractional integral operator and obtain some applications for the differential subordination.…”
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5479
Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces
Published 2010-01-01“…We introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for this iterative scheme in a uniformly convex Banach space. …”
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5480
Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order
Published 2013-01-01“…The existence and uniqueness of fixed points of both the cyclic self-mapping and its associate composite self-mappings on each of the subsets are investigated, if the subsets in the cyclic disposal are nonempty, bounded and of nonempty convex intersection. The obtained results are extended to the existence of unique best proximity points in uniformly convex Banach spaces.…”
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