117 Result(s)
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Article
Dependence on the Parameter of Generalized Grötzsch Ring and Generalized Hübner Functions
For \(a\in (0,1/2]\) a ∈ ( ...
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Article
Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications
This paper deals with the monotonicity and concavity properties of certain functions involving the Gaussian hypergeometric function. With these results, we not only obtain sharp bounds for the ratio of hyperge...
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Sharp power-type Heronian and Lehmer means inequalities for the complete elliptic integrals
In the article, we prove that the inequalities $${H_p}({\cal K}(r),{\cal E}(r)) > {\pi \over 2},\,\,\,\,\,\,{L_q}({\cal K}(r),{\cal E}(r)) > {...
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Open AccessOn some new generalized fractional Bullen-type inequalities with applications
In this paper, we establish a Bullen-type generalized fractional integral identity for the differentiable functions and derive some new estimates for the Bullen-type fractional integral inequalities via the Ra...
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Article
On approximating the arc lemniscate functions
This paper deals with the arc lemniscate functions from the point view of bivariate means which have been introduced in [1]. In this study, several optimal bounds for these bivariate means in terms of arithmetic,...
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Article
Landen inequalities for Gaussian hypergeometric function
In the article, we present several Landen inequalities, and quadratic and cubic transformation inequalities for general Gaussian hypergeometric function ...
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Article
Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means
In the article, we present the best possible parameters \(\alpha _1\) α ...
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Sharp power mean bounds for the lemniscate type means
In this paper, we present sharp power mean bounds for the so-called lemniscate type means, which were introduced by Neuman (Math Pannon 18(1):77–94, 2007). The obtained results measure what the distance is bet...
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Open AccessOn some new midpoint inequalities for the functions of two variables via quantum calculus
In this paper, first we obtain a new identity for quantum integrals, the result is then used to prove midpoint type inequalities for differentiable coordinated convex map**s. The outcomes provided in this ar...
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Article
Open AccessOstrowski-type inequalities for n-polynomial \(\mathscr{P}\) -convex function for k-fractional Hilfer–Katugampola derivative
In this article, we develop a novel framework to study a new class of convex functions known as n-polynomial P ...
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Open AccessExtensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals
In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals. Moreover, the authors prove extensions of the Hermite–Had...
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Open AccessEditorial Expression of Concern: On approximating Mills ratio
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Open AccessPost-quantum Hermite–Hadamard type inequalities for interval-valued convex functions
In this research, we introduce the notions of ( p , q ...
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Approximations for the complete elliptic integral of the second \(\hbox {Kind}\)
In this paper, we present the best possible parameters \(\alpha _{1}\) α ...
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Open Access\((\mathrm{p},\mathrm{q})\) -Analysis of Montgomery identity and estimates of \((\mathrm{p},\mathrm{q})\) -bounds with applications
The main objective of this article is to establish a new post quantum version of Montgomery identity. Some estimates of associated post quantum bounds are also obtained. In order to obtain the main results of ...
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Monotonicity and convexity involving generalized elliptic integral of the first kind
In this paper, we present the monotonicity properties of the ratio between generalized elliptic integral of the first kind $${\mathcal {K}}_a(...
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Open AccessRefinements of some integral inequalities for unified integral operators
In this paper we are presenting the refinements of integral inequalities established for convex functions. Consequently, we get refinements of several fractional integral inequalities for different kinds of fr...
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Article
Open AccessOn post quantum estimates of upper bounds involving twice \((p,q)\) -differentiable preinvex function
The main objective of this paper is to derive a new post quantum integral identity using twice ( p , q ) \((p,q)\) -differentiable functions. Using this identity as an auxiliary result, we obtain some new post q...
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Inequalities for the generalized weighted mean values of g-convex functions with applications
In the article, we establish several inequalities for the generalized weighted mean values of g-convex functions. As applications, we provide several new Hermite-Hadamard type inequalities for the g-convex functi...
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Open AccessNew Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions
In the article, we introduce a class of n-polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are the generalizations and variants of the previously know...
