Results 1 to 10 of about 718 (99)
Refinement of Gautschi's harmonic mean inequality for the gamma function
Rendiconti del Seminario Matematico della Universita di Padova, 2023 In 1974, W. Gautschi proved that 1 < 2 1/Γ(x) + 1/Γ(1/x) , 0 < x 6= 1. Here, we present the following refinement: 1 < Γ ( 2 x+ 1/x ) < 2 1/Γ(x) + 1/Γ(1/x) , 0 < x 6= 1. 2020 Mathematics Subject Classification.
H. Alzer
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Journal of Mathematical Inequalities, 2021 Convex functions have played a major role in the field of Mathematical inequalities. In this paper, we introduce a new concept related to convexity, which proves better estimates when the function is somehow more convex than another.
M. Sababheh, S. Furuichi, H. Moradi
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Nonlinear inequalities and related fixed point problems
Journal of Mathematical Inequalities, 2021 In this paper, we introduce a nonlinear inequality based on four self-mappings. We give necessary conditions which ensure the existence of a common fixed point of four selfmappings satisfying said inequality defined in Ś -metric spaces.
Muhammad Nazam +3 more
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Demonstratio Mathematica, 2023 This article presents the general solution f:G→Vf:{\mathcal{G}}\to {\mathcal{V}} of the following functional equation: f(x)−4f(x+y)+6f(x+2y)−4f(x+3y)+f(x+4y)=0,x,y∈G,f\left(x)-4f\left(x+y)+6f\left(x+2y)-4f\left(x+3y)+f\left(x+4y)=0,\hspace{1.0em}x,y\in {\
Park Choonkil +4 more
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Additive double ρ-functional inequalities in β-homogeneous F-spaces
Journal of Mathematical Inequalities, 2021 . In this paper, we introduce and solve the following additive double ρ -functional in- equalities ρ 1 , ρ 2 are fi xed nonzero complex numbers with 2 where ρ 1 , ρ 2 are fi xed nonzero complex numbers with | ρ 1 | 2 + | ρ 2 2 < 1.
Qi Liu, Zhuang mo Sha, Y. Li
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Sandwich Type Results For m-Convex Real Functions
Annales Mathematicae Silesianae, 2021 We establish necessary and sufficient conditions allowing separation of pair of real functions by an m-convex and by an m-affine function. Some examples and a geometric interpretation of m-convexity of a function is exhibited, as well as a Jensen’s ...
Lara Teodoro, Rosales Edgar
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Derivation-homomorphism functional inequalities
, 2021 In this paper, we introduce and solve the following additive-additive (s,t) -functional inequality ‖g(x+ y)−g(x)−g(y)‖+‖h(x+ y)+h(x− y)−2h(x)‖ (1) ∥∥∥s ( 2g ( x+ y 2 ) −g(x)−g(y) ∥∥∥+ ∥∥∥t ( 2h ( x+ y 2 ) +2h ( x− y 2 ) −2h(x) ∥∥∥ , where s and t are ...
Choonkill Park
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Ohlin and Levin–Stečkin-Type Results for Strongly Convex Functions
Annales Mathematicae Silesianae, 2020 Counterparts of the Ohlin and Levin–Stečkin theorems for strongly convex functions are proved. An application of these results to obtain some known inequalities related with strongly convex functions in an alternative and unified way is presented.
Nikodem Kazimierz, Rajba Teresa
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Hyers-Ulam stability of isometries on bounded domains-II
Demonstratio Mathematica, 2023 The question of whether there is a true isometry approximating the ε\varepsilon -isometry defined in the bounded subset of the nn-dimensional Euclidean space has long been considered an interesting question.
Choi Ginkyu, Jung Soon-Mo
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m-Convex Functions of Higher Order
Annales Mathematicae Silesianae, 2020 In this research we introduce the concept of m-convex function of higher order by means of the so called m-divided difference; elementary properties of this type of functions are exhibited and some examples are provided.
Lara Teodoro +2 more
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