Zobrazeno 1 - 10
of 148
pro vyhledávání: '"strongly convex function"'
Publikováno v:
AIMS Mathematics, Vol 7, Iss 6, Pp 10165-10179 (2022)
In the literature of mathematical inequalities, one can have different variants of the well-known Hadamard inequality for CFD (Caputo fractional derivatives). These variants include generalizations, extensions and refinements which have been proved b
Externí odkaz:
https://doaj.org/article/7a9f958cdd424d4ab574563d486c81b8
Publikováno v:
Fractal and Fractional, Vol 7, Iss 10, p 705 (2023)
This article investigates inequalities for certain types of strongly convex functions by applying q-h-integrals. These inequalities provide the refinements of some well-known results that hold for (α,m)- and (ℏ-m)-convex and related functions. Ine
Externí odkaz:
https://doaj.org/article/d95285892dca488f93d96a79219934b4
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 7332-7349 (2020)
The main objective of this paper is to compute refinements of bounds of the generalized fractional integral operators containing an extended generalized Mittag-Leffler function in their kernels. The presented results also provide refinements of alrea
Externí odkaz:
https://doaj.org/article/a7a3e5e15ba049a49213c8cb033c4fc2
Publikováno v:
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, Vol 20, Iss 2, Pp 142-153 (2020)
The finite-dimensional problem of embedding a given compact D ⊂ R p into the lower Lebesgue set G(α) = {y ∈ R p : f(y) 6 α} of the convex function f(·) with the smallest value of α due to the offset of D is considered. Its mathematical formal
Externí odkaz:
https://doaj.org/article/2daab81f13084360a3ed54376df5020a
On strongly starlike and strongly convex functions with bounded radius and bounded boundary rotation
Autor:
Sabir Hussain, Khalil Ahmad
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-10 (2020)
Abstract In this paper, we introduce and investigate new classes of normalized analytic functions in an open unit disk with bounded radius and bounded boundary rotation by using the subordination. We discuss inclusion results, co-efficient bounds, gr
Externí odkaz:
https://doaj.org/article/5c08e255039b49be9e27ab2dfee1f0ed
Publikováno v:
Axioms, Vol 12, Iss 2, p 195 (2023)
It is the purpose of this paper to propose a novel class of convex functions associated with strong η-convexity. A relationship between the newly defined function and an earlier generalized class of convex functions is hereby established. To point o
Externí odkaz:
https://doaj.org/article/34f156b3f3684210874cd6d4df11fa4b
Publikováno v:
Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-13 (2019)
Abstract In the article, we present several majorization theorems for strongly convex functions and give their applications in inequality theory. The given results are the improvement and generalization of the earlier results.
Externí odkaz:
https://doaj.org/article/7ca30067bb0c4e068a4da0ef662ac775
Akademický článek
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Akademický článek
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Publikováno v:
Fractal and Fractional, Vol 6, Iss 3, p 168 (2022)
Fractional integral operators are useful tools for generalizing classical integral inequalities. Convex functions play very important role in the theory of mathematical inequalities. This paper aims to investigate the Hadamard type inequalities for a
Externí odkaz:
https://doaj.org/article/ef5852f0507445528b603c07de0ca230