Results 11 to 20 of about 7,201,794 (132)
Notes on the Schur-convexity of the Extended Mean Values [PDF]
, 2002 In this article, the Schur-convexities of the weighted arithmetic mean of function and the extended mean values are proved. Moreover, some inequalities involving the arithmetic mean, the harmonic mean, the logarithmic mean, and comparison between the ...
Qi, Feng +3 more
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Schur-convexity of the Extended Mean Values [PDF]
, 2001 In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequality between the logarithmic mean values and the identity (exponential) mean values is ...
Qi, Feng
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The Extended Mean Values: Definition, Properties, Monotonicities, Comparison, Convexities, Generalizations, and Applications [PDF]
, 2001 The extended mean values E(r, s; x, y) play an important role in theory of mean values and theory of inequalities, and even in the whole mathematics, since many norms in mathematics are always means.
Qi, Feng
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Hermite-Hadamard type inequality for certain Schur convex functions [PDF]
Mathematical Inequalities & Applications, 2020 The main goal of this paper is to prove a Hermite-Hadamard type inequality for certain Schur convex functions using, as one of the main tools in the proof, a Korovkin-type approximation theorem.
Burai, Pál +2 more
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Refinements, Extensions and Generalizations of the Second Kershaw's Double Inequality [PDF]
, 2007 In the paper, the second Kershaw’s double inequality concerning ratio of two gamma functions is refined, extended and generalized ...
Qi, Feng
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M. Riesz-Schur-type inequalities for entire functions of exponential type [PDF]
Sbornik: Mathematics, 2015 We prove a general M. Riesz-Schur-type inequality for entire functions of exponential type.
Erdelyi, Tamas +2 more
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AIMS Mathematics, 2023 To create various kinds of inequalities, the idea of convexity is essential. Convexity and integral inequality hence have a significant link. This study's goals are to introduce a new class of generalized convex fuzzy-interval-valued functions (convex 𝘍𝘐𝘝𝘍s) which are known as (p,J)-convex 𝘍𝘐𝘝𝘍s and to establish Jensen, Schur and Hermite-Hadamard type ...
Khan, Muhammad Bilal +4 more
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Journal of Function Spaces, 2022 In modern world, most of the optimization problems are nonconvex which are neither convex nor concave. The objective of this research is to study a class of nonconvex functions, namely, strongly nonconvex functions. We establish inequalities of Hermite-Hadamard and Fejér type for strongly nonconvex functions in generalized sense. Moreover, we establish
Wenbo Xu +4 more
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Journal of Function Spaces, 2022 The study of convex functions is an interesting area of research due to its huge applications in pure and applied mathematics special in optimization theory. The aim of this paper is to introduce and study a more generalized class of convex functions. We established Schur (S), Hermite-Hadamard (HH), and Fejér (F) type inequalities for introduced class ...
Yi Ma +3 more
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Positivity properties for q-Schur algebras. [PDF]
, 1997 We prove Du's positivity conjecture for the canonical basis of the q-Schur algebra, using elementary arguments and the positivity result for Lusztig's canonical basis for U+q(sln).
Green, R. M.
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