Results 51 to 60 of about 26,410,219 (262)
New integral inequalities involving beta function via $P$-convexity [PDF]
Summary: In this note we establish some estimates, involving the Euler-beta function, of the integral \(\int^b_a (x-a)^p(b-x)^qf(x)dx\) for functions when a power of the absolute value is \(P\)-convex. An extension to functions of several variables is also obtained.
openaire +3 more sources
Convex Analysis for Minimizing and Learning Submodular Set Functions [PDF]
The connections between convexity and submodularity are explored, for purposes of minimizing and learning submodular set functions. First, we develop a novel method for minimizing a particular class of submodular functions, which can be expressed as a
Peter Stobbe, Stobbe, Peter
core +1 more source
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt +5 more
wiley +1 more source
In this paper, a new class of functions, namely, exponentially α,h−m−p-convex functions is introduced to unify various classes of functions already defined in the subject of convex analysis.
Kamsing Nonlaopon +4 more
doaj +1 more source
Some new simpson type inequalities for the p-convex and p-concave functions
In this paper, we establish some new Simpson type inequalities for the class of functions whose derivatives in absolute values at certain powers are p-convex and p ...
İŞCAN, İmdat +2 more
openaire +2 more sources
Rapidly Solidified High‐Strength Invar 36 Prepared by Planar‐Flow Melt Spinning
The Invar 36 alloy was rapidly solidified using the planar‐flow melt‐spinning technique. Ribbon samples with thicknesses ranging from 20 to 160 mm were produced. As the grain size of the ribbon decreased to sub‐micron levels, the hardness increased by more than 2 times.
Bekir Akgül, Mehmet Kul
wiley +1 more source
We preface and examine classes of (p, q)-convex harmonic locally univalent functions associated with subordination. We acquired a coefficient characterization of (p, q)-convex harmonic univalent functions.
Hasan Bayram, Sibel Yalçın
doaj +1 more source
Investigating the Low‐Temperature Phase Stability of the Binary Ta–W System
Atomistic simulations show that the binary Ta–W system forms ordered intermetallic phases, B2‐TaW and D03‐TaW3, as 0 K ground states. Configurational entropy, however, lowers the free energy of the disordered bcc solid solution, which becomes the stable phase above about 400 K.
Klemens Lechner +7 more
wiley +1 more source
SOME INEQUALITIES OF THE HERMITE HADAMARD TYPE FOR PRODUCT OF TWO FUNCTIONS
Abstaract−In this paper, we shall establish some new inequalities of the Hermite Hadamard type for product of two functions to belong to the class of s-convex functions and the class of h-convex functions.
Nguyen Ngoc Hue, Duong Quoc Huy
doaj
Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications
In this work, we introduce the idea and concept of $p$--harmonic exponential type convex functions. We elaborate on the newly introduced idea by examples and some interesting algebraic properties.
Muhammad Tariq
doaj

