Results 61 to 70 of about 46,401 (165)

On derivability criteria of h-Convex Functions

open access: yesStatistics, Optimization & Information Computing
This study pursues two main objectives. First, we aim to generalize the Criterion of Derivability for convex functions, which posits that for a specific type of mathematical function defined on an interval, the function is convex if and only if its rate of change (first derivative) is monotonically increasing across that interval. We aim to expand this
Mousaab Bouafia   +2 more
openaire   +1 more source

Generalized (h,r)-Harmonic Convex Functions and Inequalities

open access: yesInternational Journal of Analysis and Applications, 2018
The main aim of this paper is to introduce a new class of harmonic convex functions with respect to non-negative function h, which is called generalized (h,r)-harmonic convex functions.
Muhammad Aslam Noor   +3 more
doaj   +2 more sources

Exploring the (h, m)-Convexity for Operators in Hilbert Space

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi
This study examines the concept of operator (h, m)-convexity within the context of Hilbert spaces, aiming to advance the understanding of operator convex functions.
Ekadion Maulana   +2 more
doaj   +1 more source

Certain new bounds considering the weighted Simpson-like type inequality and applications

open access: yesJournal of Inequalities and Applications, 2018
We investigate a weighted Simpson-type identity and obtain new estimation-type results related to the weighted Simpson-like type inequality for the first-order differentiable mappings.
Chun-Yan Luo   +3 more
doaj   +1 more source

On strongly $${\varphi_{h}}$$ -convex functions in inner product spaces [PDF]

open access: yesArabian Journal of Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A Third-Order Differential Equation and Starlikeness of a Double Integral Operator

open access: yesAbstract and Applied Analysis, 2011
Functions f(z)=z+∑2∞‍anzn that are analytic in the unit disk and satisfy the differential equation f'(z)+αzf''(z)+γz2f'''(z)=g(z) are considered, where g is subordinated to a normalized convex univalent function h. These functions f are given by a double
Rosihan M. Ali   +3 more
doaj   +1 more source

On Riemann–Liouville Integral via Strongly Modified (h,m)-Convex Functions

open access: yesFractal and Fractional
The generalization of strongly convex and strongly m-convex functions is presented in this paper. We began by proving the properties of a strongly modified (h,m)-convex function. The Schur inequality and the Hermite–Hadamard (H-H) inequalities are proved
Ali N. A. Koam   +5 more
doaj   +1 more source

Properties of the modulus of continuity for monotonous convex functions and applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
For a monotone convex function f∈C[a,b] we prove that the modulus of continuity w(f;h) is concave on [a,b] as function of h. Applications to approximation theory are obtained.
Sorin Gheorghe Gal
doaj   +1 more source

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