62 hasil untuk "Muhammad Samraiz"
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Artikel Jurnal Teks lengkap
Advancements in Convex Analysis Through Inverse Cosine Function with Applications
In this article, we introduce a new class of convex functions called $\alpha$-inverse cosine convex functions ($\alpha$-ICCF), which extends the traditional classes. We analyze various algebraic and geometric properties by illustrating the graphs of several significant $\alpha$-ICCF via visual…
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Artikel Jurnal Teks lengkap
On Generalized Wirtinger Inequalities for (k,ψ)-Caputo Fractional Derivatives and Applications
The primary aim of this study is to establish new Wirtinger-type inequalities involving fractional derivatives, which are essential tools in analysis and applied mathematics. We derive generalized Wirtinger-type inequalities incorporating the (k,ψ)-Caputo fractional derivatives using Taylor’s…
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New developments in convex analysis: Harmonically trigonometric $ p $-coordinated convex functions and related inequalities
In this paper, we introduce two novel classes of functions termed the harmonically trigonometric $ p $-convex functions on $ \Delta = [\tau, \upsilon]\times[\varphi, \chi] $ and harmonically trigonometric $ p $-coordinated convex functions. We discuss relations between these two newly introduced…
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Reverse fractional integral inclusions and generic $ \eta_{\hslash} $ interval-valued convexity
This paper presents the development of reverse Minkowski and reverse Hölder's fractional integral inclusions. We propose a generic class of $ \eta_{\hslash} $ interval-valued $ (\mathrm{I}.\mathrm{V}) $ convex functions, which unifies various existing classes. Additionally, we obtain a discrete…
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Caputo-Hadamard fractional Wirtinger-type inequalities via Taylor expansion with applications to classical means
In this paper, we explored Caputo-Hadamard fractional Wirtinger-type inequalities using Taylor's formula. The main findings were derived by utilizing Hölder's inequality to derive results for Caputo-Hadamard fractional derivatives in terms of $ \textbf{L}_{q} $ norms for $ q > 1 $. Through…
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On an extension of Hadamard fractional derivative
Abstract In this paper, we introduce a new approach to the fractional derivation which generalizes the classical Hadamard fractional derivative. We prove some properties of this new approach and also establish some results by addressing some standard functions.
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Fractional inequalities of Newton-type for differentiable functions with applications
Abstract In this paper, we investigate a novel approach to studying an integral identity involving generalized Riemann-Liouville fractional operators. By employing this identity, several Newton-type inequalities are established for differentiable p-convex functions. Furthermore, we explore some…
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Artikel Jurnal Teks lengkap
Tempered Riemann–Liouville Fractional Operators: Stability Analysis and Their Role in Kinetic Equations
Mathematics and physics are deeply interconnected. In fact, physics relies on mathematical tools like calculus and differential equations. The aim of this article is to introduce tempered Riemann–Liouville (RL) fractional operators and their properties with applications in mathematical physics. The…
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New interval-valued (Ψ,(h1,h2)-Godunova-Levin) convex functions and inclusions involving generalized proportional fractional integrals
This paper aims to derive reverse Minkowski and Hölder’s inclusions via newly introduced interval-valued (I.V) generalized proportional fractional (GPF) integral operators. A key contribution is the introduction of a novel class of I.V (Ψ,(h1,h2)-Godunova Levin (GL)) convex functions, which…
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Artikel Jurnal Teks lengkap
Quantum Calculus-Based Error Estimations in Hermite-Hadamard Type Inequalities
The main aim of this article is to present error approximations for Hermite-Hadamard inequalities, which are connected with $_{\omega_{1}}\mathfrak{q}$-fractional calculus operators and are based on $\mathrm{(\rho, m)}$-convex functions. The investigation revolves around our primary results, which…
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Artikel Jurnal
Multivariate Mittag-Leffler function and related fractional integral operators
In this paper, we describe a new generalization of the multivariate Mittag-Leffler (M-L) function in terms of generalized Pochhammer symbol and study its properties. We provide a few differential and fractional integral formulas for the generalized multivariate M-L function. Furthermore, by using…
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Certain fractional conformable inequalities for the weighted and the extended Chebyshev functionals
Abstract The main aim of this present paper is to establish fractional conformable inequalities for the weighted and extended Chebyshev functionals. We present some special cases of our main result in terms of the Riemann–Liouville fractional integral operator and classical inequalities.
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Artikel Jurnal Teks lengkap
Some New Beesack–Wirtinger-Type Inequalities Pertaining to Different Kinds of Convex Functions
In this paper, the authors established several new inequalities of the Beesack–Wirtinger type for different kinds of differentiable convex functions. Furthermore, we generalized our results for functions that are n-times differentiable convex. Finally, many interesting Ostrowski- and Chebyshev-type…
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Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis
Convex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable. In this manuscript, we originate and analyze a novel category of convexity, namely, harmonically trigonometric p-convex functions, and explore…
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A new formulation of Hermite–Hadamard–Fejer inequalities connected with an extended fractional operator
Abstract In this work, we classify the extensions of Hermite–Hadamard(H–H)–Fejer-type inequalities for the fractional operators involving nonlinear kernel. By utilizing these inequalities, we develop many kinds of fractional integral (FI) inequalities. By considering the limiting cases of our main…
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Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function
In this present article, we establish certain new Pólya–Szegö-type tempered fractional integral inequalities by considering the generalized tempered fractional integral concerning another function Ψ in the kernel. We then prove certain new Chebyshev-type tempered fractional integral inequalities…
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Unified discrete and integral Giaccardi inequalities under the isotonic linear functionals and their applications in different time scales
Abstract This article introduces the Giaccardi inequality using isotonic linear functionals and h-convexity. This work includes both discrete and integral variants of this inequality. The important Petrović inequality is deduced as a special case. For some applications, the established inequalities…
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On inequalities of Hermite-Hadamard type via n-polynomial exponential type s-convex functions
In this paper, a new class of Hermite-Hadamard type integral inequalities using a strong type of convexity, known as n-polynomial exponential type s-convex function, is studied. This class is established by utilizing the Hölder's inequality, which has several applications in optimization theory…
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New classes of unified fractional integral inequalities
Many researchers in recent years have studied fractional integrals and derivatives. Some authors recently introduced generalized fractional integrals, the so-called unified fractional integrals. In this article, we establish certain new integral inequalities by employing the unified fractional…
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New trapezium type inequalities of coordinated distance-disturbed convex type functions of higher orders via extended Katugampola fractional integrals
Abstract In this paper we establish some new results on trapezium type inequalities of coordinated distance-disturbed ( ℓ 1 , h 1 ) $(\ell _{1},h_{1})$ – ( ℓ 2 , h 2 ) $(\ell _{2},h_{2})$ -convex functions of higher orders ( σ 1 , σ 2 ) $(\sigma _{1},\sigma _{2})$ by using the Katugampola ( k 1 , k…